342604664893440 has 832 divisors, whose sum is σ = 1230498833203200. Its totient is φ = 90427252801536.

The previous prime is 342604664893363. The next prime is 342604664893511. The reversal of 342604664893440 is 44398466406243.

342604664893440 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 0 + 4 + 66 + 48 + 93 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30829173324 + ... + 30829184436.

Almost surely, 2^{342604664893440} is an apocalyptic number.

342604664893440 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 342604664893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615249416601600).

342604664893440 is an abundant number, since it is smaller than the sum of its proper divisors (887894168309760).

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

342604664893440 is a wasteful number, since it uses less digits than its factorization.

342604664893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11717 (or 11689 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 63.

The spelling of 342604664893440 in words is "three hundred forty-two trillion, six hundred four billion, six hundred sixty-four million, eight hundred ninety-three thousand, four hundred forty".