345500400 has 120 divisors (see below), whose sum is σ = 1264891264. Its totient is φ = 78969600.

The previous prime is 345500381. The next prime is 345500423. The reversal of 345500400 is 4005543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12166 + ... + 28965.

Almost surely, 2^345500400 is an apocalyptic number.

345500400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345500400 is an abundant number, since it is smaller than the sum of its proper divisors (919390864).

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

345500400 is a wasteful number, since it uses less digits than its factorization.

345500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41159 (or 41148 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 345500400 is about 18587.6410552819. The cubic root of 345500400 is about 701.6968358404.

Adding to 345500400 its reverse (4005543), we get a palindrome (349505943).

The spelling of 345500400 in words is "three hundred forty-five million, five hundred thousand, four hundred".