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3494599680 = 2103511133743
BaseRepresentation
bin1101000001001011…
…0101110000000000
3100000112201001112210
43100102311300000
524124104142210
61334433222120
7152412415155
oct32022656000
910015631483
103494599680
111533679510
12816401940
13438cc8580
1425219422c
15156be1e20
hexd04b5c00

3494599680 has 704 divisors, whose sum is σ = 13799858688. Its totient is φ = 743178240.

The previous prime is 3494599657. The next prime is 3494599711. The reversal of 3494599680 is 869954943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×34945996802 = 24424453846912204800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3494599680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81269739 + ... + 81269781.

It is an arithmetic number, because the mean of its divisors is an integer number (19602072).

Almost surely, 23494599680 is an apocalyptic number.

3494599680 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 3494599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899929344).

3494599680 is an abundant number, since it is smaller than the sum of its proper divisors (10305259008).

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

3494599680 is a wasteful number, since it uses less digits than its factorization.

3494599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The square root of 3494599680 is about 59115.1391777098. The cubic root of 3494599680 is about 1517.5132005362.

The spelling of 3494599680 in words is "three billion, four hundred ninety-four million, five hundred ninety-nine thousand, six hundred eighty".