342500400 has 450 divisors, whose sum is σ = 1385604396. Its totient is φ = 80352000.

The previous prime is 342500399. The next prime is 342500437. The reversal of 342500400 is 4005243.

It is a happy number.

342500400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 11048385 + ... + 11048415.

Almost surely, 2^342500400 is an apocalyptic number.

342500400 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 342500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692802198).

342500400 is an abundant number, since it is smaller than the sum of its proper divisors (1043103996).

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

342500400 is a wasteful number, since it uses less digits than its factorization.

342500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 342500400 is about 18506.7663301831. The cubic root of 342500400 is about 699.6599709100.

Adding to 342500400 its reverse (4005243), we get a palindrome (346505643).

The spelling of 342500400 in words is "three hundred forty-two million, five hundred thousand, four hundred".