3456294408000 has 1792 divisors, whose sum is σ = 15751205683200. Its totient is φ = 724101120000.

The previous prime is 3456294407911. The next prime is 3456294408029. The reversal of 3456294408000 is 8044926543.

3456294408000 is a `hidden beast` number, since 3 + 4 + 562 + 9 + 4 + 4 + 0 + 80 + 0 + 0 = 666.

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

It is a congruent number.

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, 890566060 + ... + 890569940.

Almost surely, 2^{3456294408000} is an apocalyptic number.

3456294408000 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 3456294408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7875602841600).

3456294408000 is an abundant number, since it is smaller than the sum of its proper divisors (12294911275200).

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

3456294408000 is a wasteful number, since it uses less digits than its factorization.

3456294408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3456294408000 in words is "three trillion, four hundred fifty-six billion, two hundred ninety-four million, four hundred eight thousand".