342385571377080 has 1280 divisors, whose sum is σ = 1445607668736000. Its totient is φ = 70607977344000.

The previous prime is 342385571377007. The next prime is 342385571377093. The reversal of 342385571377080 is 80773175583243.

342385571377080 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 8 + 557 + 1 + 3 + 7 + 70 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 342385571376999 and 342385571377017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 47428389711 + ... + 47428396929.

It is an arithmetic number, because the mean of its divisors is an integer number (1129380991200).

Almost surely, 2^{342385571377080} is an apocalyptic number.

342385571377080 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 342385571377080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722803834368000).

342385571377080 is an abundant number, since it is smaller than the sum of its proper divisors (1103222097358920).

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

342385571377080 is a wasteful number, since it uses less digits than its factorization.

342385571377080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 342385571377080 in words is "three hundred forty-two trillion, three hundred eighty-five billion, five hundred seventy-one million, three hundred seventy-seven thousand, eighty".