3506472786960 has 1280 divisors, whose sum is σ = 14437325952000. Its totient is φ = 771073966080.

The previous prime is 3506472786959. The next prime is 3506472786983. The reversal of 3506472786960 is 696872746053.

3506472786960 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 472 + 78 + 6 + 96 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 6295283002 + ... + 6295283558.

It is an arithmetic number, because the mean of its divisors is an integer number (11279160900).

Almost surely, 2^{3506472786960} is an apocalyptic number.

3506472786960 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 3506472786960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218662976000).

3506472786960 is an abundant number, since it is smaller than the sum of its proper divisors (10930853165040).

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

3506472786960 is a wasteful number, since it uses less digits than its factorization.

3506472786960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3506472786960 in words is "three trillion, five hundred six billion, four hundred seventy-two million, seven hundred eighty-six thousand, nine hundred sixty".