342889934400 has 336 divisors, whose sum is σ = 1346113843200. Its totient is φ = 84403537920.

The previous prime is 342889934381. The next prime is 342889934417. The reversal of 342889934400 is 4439988243.

342889934400 is a `hidden beast` number, since 3 + 42 + 88 + 99 + 34 + 400 = 666.

It is a super-2 number, since 2×342889934400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256321 + ... + 866879.

It is an arithmetic number, because the mean of its divisors is an integer number (4006291200).

Almost surely, 2^342889934400 is an apocalyptic number.

342889934400 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 342889934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673056921600).

342889934400 is an abundant number, since it is smaller than the sum of its proper divisors (1003223908800).

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

342889934400 is a wasteful number, since it uses less digits than its factorization.

342889934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610603 (or 610582 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 342889934400 in words is "three hundred forty-two billion, eight hundred eighty-nine million, nine hundred thirty-four thousand, four hundred".