3459934180800 has 1680 divisors, whose sum is σ = 13683071846400. Its totient is φ = 855932313600.

The previous prime is 3459934180783. The next prime is 3459934180819. The reversal of 3459934180800 is 80814399543.

3459934180800 is a `hidden beast` number, since 3 + 4 + 599 + 3 + 41 + 8 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×3459934180800² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12767284665 + ... + 12767284935.

Almost surely, 2^{3459934180800} is an apocalyptic number.

3459934180800 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 3459934180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841535923200).

3459934180800 is an abundant number, since it is smaller than the sum of its proper divisors (10223137665600).

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

3459934180800 is a wasteful number, since it uses less digits than its factorization.

3459934180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3459934180800 in words is "three trillion, four hundred fifty-nine billion, nine hundred thirty-four million, one hundred eighty thousand, eight hundred".