342807234255360 has 1920 divisors, whose sum is σ = 1505594635776000. Its totient is φ = 72223022186496.

The previous prime is 342807234255319. The next prime is 342807234255371. The reversal of 342807234255360 is 63552432708243.

342807234255360 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 0 + 7 + 23 + 4 + 2 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×342807234255360² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 342807234255297 and 342807234255306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12585148621 + ... + 12585175859.

It is an arithmetic number, because the mean of its divisors is an integer number (784163872800).

Almost surely, 2^{342807234255360} is an apocalyptic number.

342807234255360 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 342807234255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752797317888000).

342807234255360 is an abundant number, since it is smaller than the sum of its proper divisors (1162787401520640).

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

342807234255360 is a wasteful number, since it uses less digits than its factorization.

342807234255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27371 (or 27312 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 342807234255360 in words is "three hundred forty-two trillion, eight hundred seven billion, two hundred thirty-four million, two hundred fifty-five thousand, three hundred sixty".