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3685059840 = 28357113103
BaseRepresentation
bin1101101110100101…
…1000110100000000
3100111211002102202210
43123221120310000
530021333403330
61405355342120
7160214330460
oct33351306400
910454072683
103685059840
111621136000
1286a151940
134695c25a7
1426d5b1ba0
151687b48b0
hexdba58d00

3685059840 has 576 divisors, whose sum is σ = 14938140672. Its totient is φ = 758292480.

The previous prime is 3685059817. The next prime is 3685059871. The reversal of 3685059840 is 489505863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3685059840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35777229 + ... + 35777331.

It is an arithmetic number, because the mean of its divisors is an integer number (25934272).

Almost surely, 23685059840 is an apocalyptic number.

3685059840 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 3685059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469070336).

3685059840 is an abundant number, since it is smaller than the sum of its proper divisors (11253080832).

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

3685059840 is a wasteful number, since it uses less digits than its factorization.

3685059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 3685059840 is about 60704.6937229733. The cubic root of 3685059840 is about 1544.5957950157.

The spelling of 3685059840 in words is "three billion, six hundred eighty-five million, fifty-nine thousand, eight hundred forty".