342896400 has 360 divisors, whose sum is σ = 1484768064. Its totient is φ = 71193600.

The previous prime is 342896399. The next prime is 342896423. The reversal of 342896400 is 4698243.

It is a happy number.

342896400 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×342896400² = 235155882265920000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276582 + ... + 277818.

Almost surely, 2^342896400 is an apocalyptic number.

342896400 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 342896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742384032).

342896400 is an abundant number, since it is smaller than the sum of its proper divisors (1141871664).

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

342896400 is a wasteful number, since it uses less digits than its factorization.

342896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1265 counting only the distinct ones).

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

The square root of 342896400 is about 18517.4620291227. The cubic root of 342896400 is about 699.9295167128.

The spelling of 342896400 in words is "three hundred forty-two million, eight hundred ninety-six thousand, four hundred".