3474064512000 has 1408 divisors, whose sum is σ = 14071045248000. Its totient is φ = 841442918400.

The previous prime is 3474064511999. The next prime is 3474064512049. The reversal of 3474064512000 is 2154604743.

3474064512000 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 0 + 645 + 1 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1703806981 + ... + 1703809019.

Almost surely, 2^{3474064512000} is an apocalyptic number.

3474064512000 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 3474064512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035522624000).

3474064512000 is an abundant number, since it is smaller than the sum of its proper divisors (10596980736000).

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

3474064512000 is a wasteful number, since it uses less digits than its factorization.

3474064512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 3474064512000 in words is "three trillion, four hundred seventy-four billion, sixty-four million, five hundred twelve thousand".