3475364496480 has 144 divisors (see below), whose sum is σ = 11860173181584. Its totient is φ = 926725432320.

The previous prime is 3475364496451. The next prime is 3475364496547. The reversal of 3475364496480 is 846944635743.

3475364496480 is a `hidden beast` number, since 3 + 4 + 7 + 5 + 3 + 64 + 4 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58300290 + ... + 58359870.

It is an arithmetic number, because the mean of its divisors is an integer number (82362313761).

Almost surely, 2^{3475364496480} is an apocalyptic number.

3475364496480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3475364496480 is an abundant number, since it is smaller than the sum of its proper divisors (8384808685104).

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

3475364496480 is a wasteful number, since it uses less digits than its factorization.

3475364496480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100109 (or 100098 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 3475364496480 in words is "three trillion, four hundred seventy-five billion, three hundred sixty-four million, four hundred ninety-six thousand, four hundred eighty".