342084096 has 120 divisors (see below), whose sum is σ = 1004287284. Its totient is φ = 112066560.

The previous prime is 342084091. The next prime is 342084097. The reversal of 342084096 is 690480243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 293642496 + 48441600 = 17136^2 + 6960^2 .

It is a super-2 number, since 2×342084096² = 234043057472274432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 342084096.

It is not an unprimeable number, because it can be changed into a prime (342084091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280480 + ... + 281696.

Almost surely, 2^342084096 is an apocalyptic number.

342084096 is a gapful number since it is divisible by the number (36) 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 342084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502143642).

342084096 is an abundant number, since it is smaller than the sum of its proper divisors (662203188).

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

342084096 is a wasteful number, since it uses less digits than its factorization.

342084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 342084096 is about 18495.5155645902. The cubic root of 342084096 is about 699.3763806464.

The spelling of 342084096 in words is "three hundred forty-two million, eighty-four thousand, ninety-six".