3502311978560 has 224 divisors, whose sum is σ = 9136557222912. Its totient is φ = 1273011240960.

The previous prime is 3502311978551. The next prime is 3502311978589. The reversal of 3502311978560 is 658791132053.

3502311978560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3502311978499 and 3502311978508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72997139 + ... + 73045101.

It is an arithmetic number, because the mean of its divisors is an integer number (40788201888).

Almost surely, 2^{3502311978560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3502311978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568278611456).

3502311978560 is an abundant number, since it is smaller than the sum of its proper divisors (5634245244352).

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

3502311978560 is a wasteful number, since it uses less digits than its factorization.

3502311978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48461 (or 48451 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 50.

The spelling of 3502311978560 in words is "three trillion, five hundred two billion, three hundred eleven million, nine hundred seventy-eight thousand, five hundred sixty".