3486239976960 has 960 divisors, whose sum is σ = 13464590211072. Its totient is φ = 828049195008.

The previous prime is 3486239976959. The next prime is 3486239977019. The reversal of 3486239976960 is 696799326843.

3486239976960 is a `hidden beast` number, since 3 + 4 + 86 + 2 + 399 + 76 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3486239976960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1407443242 + ... + 1407445718.

Almost surely, 2^{3486239976960} is an apocalyptic number.

3486239976960 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 3486239976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732295105536).

3486239976960 is an abundant number, since it is smaller than the sum of its proper divisors (9978350234112).

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

3486239976960 is a wasteful number, since it uses less digits than its factorization.

3486239976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 3486239976960 in words is "three trillion, four hundred eighty-six billion, two hundred thirty-nine million, nine hundred seventy-six thousand, nine hundred sixty".