342915161400 has 864 divisors, whose sum is σ = 1392990842880. Its totient is φ = 75297600000.

The previous prime is 342915161371. The next prime is 342915161417. The reversal of 342915161400 is 4161519243.

It is a happy number.

342915161400 is a `hidden beast` number, since 3 + 4 + 2 + 91 + 5 + 161 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 456611025 + ... + 456611775.

It is an arithmetic number, because the mean of its divisors is an integer number (1612257920).

Almost surely, 2^342915161400 is an apocalyptic number.

342915161400 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 342915161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696495421440).

342915161400 is an abundant number, since it is smaller than the sum of its proper divisors (1050075681480).

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

342915161400 is a wasteful number, since it uses less digits than its factorization.

342915161400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 342915161400 in words is "three hundred forty-two billion, nine hundred fifteen million, one hundred sixty-one thousand, four hundred".