342119531520 has 1760 divisors, whose sum is σ = 1438090536960. Its totient is φ = 77078200320.

The previous prime is 342119531519. The next prime is 342119531563. The reversal of 342119531520 is 25135911243.

It is a happy number.

342119531520 is a `hidden beast` number, since 3 + 4 + 2 + 11 + 95 + 31 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3844039636 + ... + 3844039724.

It is an arithmetic number, because the mean of its divisors is an integer number (817096896).

Almost surely, 2^342119531520 is an apocalyptic number.

342119531520 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 342119531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719045268480).

342119531520 is an abundant number, since it is smaller than the sum of its proper divisors (1095971005440).

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

342119531520 is a wasteful number, since it uses less digits than its factorization.

342119531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 342119531520 in words is "three hundred forty-two billion, one hundred nineteen million, five hundred thirty-one thousand, five hundred twenty".