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3407425781760 = 2143757111319
BaseRepresentation
bin110001100101011010011…
…001110100000000000000
3110001202011100202110000000
4301211122121310000000
5421311402000004020
611125203320000000
7501115121155440
oct61453231640000
913052140673000
103407425781760
1110a40990278a0
12470470000000
131b941b741740
14bacc53ac120
155d97d00e090
hex3195a674000

3407425781760 has 3840 divisors, whose sum is σ = 17333690572800. Its totient is φ = 619173642240.

The previous prime is 3407425781699. The next prime is 3407425781791. The reversal of 3407425781760 is 671875247043.

3407425781760 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 4 + 2 + 578 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×34074257817602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3407425781697 and 3407425781706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 179338199031 + ... + 179338199049.

It is an arithmetic number, because the mean of its divisors is an integer number (4513981920).

Almost surely, 23407425781760 is an apocalyptic number.

3407425781760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407425781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666845286400).

3407425781760 is an abundant number, since it is smaller than the sum of its proper divisors (13926264791040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3407425781760 is an equidigital number, since it uses as much as digits as its factorization.

3407425781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 3407425781760 in words is "three trillion, four hundred seven billion, four hundred twenty-five million, seven hundred eighty-one thousand, seven hundred sixty".