3480174472320 has 384 divisors, whose sum is σ = 14790743735040. Its totient is φ = 734278459392.

The previous prime is 3480174472309. The next prime is 3480174472349. The reversal of 3480174472320 is 232744710843.

3480174472320 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 174 + 472 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3480174472320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2795604 + ... + 3843923.

It is an arithmetic number, because the mean of its divisors is an integer number (38517561810).

Almost surely, 2^{3480174472320} is an apocalyptic number.

3480174472320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3480174472320 is an abundant number, since it is smaller than the sum of its proper divisors (11310569262720).

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

3480174472320 is a wasteful number, since it uses less digits than its factorization.

3480174472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639572 (or 6639557 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 3480174472320 in words is "three trillion, four hundred eighty billion, one hundred seventy-four million, four hundred seventy-two thousand, three hundred twenty".