3470456005632 has 990 divisors, whose sum is σ = 13252913507526. Its totient is φ = 901289410560.

The previous prime is 3470456005619. The next prime is 3470456005633. The reversal of 3470456005632 is 2365006540743.

3470456005632 is a `hidden beast` number, since 3 + 4 + 7 + 0 + 4 + 5 + 6 + 0 + 0 + 5 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3469964230656 + 491774976 = 1862784^2 + 22176^2 .

It is not an unprimeable number, because it can be changed into a prime (3470456005633) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 491771448 + ... + 491778504.

Almost surely, 2^{3470456005632} is an apocalyptic number.

3470456005632 is a gapful number since it is divisible by the number (32) 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 3470456005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626456753763).

3470456005632 is an abundant number, since it is smaller than the sum of its proper divisors (9782457501894).

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

3470456005632 is a wasteful number, since it uses less digits than its factorization.

3470456005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 3470456005632 in words is "three trillion, four hundred seventy billion, four hundred fifty-six million, five thousand, six hundred thirty-two".