396034800 has 120 divisors (see below), whose sum is σ = 1449895296. Its totient is φ = 90520320.

The previous prime is 396034787. The next prime is 396034853. The reversal of 396034800 is 8430693.

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

It is a super-2 number, since 2×396034800² = 313687125622080000, which contains 22 as substring.

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, 15174 + ... + 31973.

Almost surely, 2^396034800 is an apocalyptic number.

396034800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396034800 is an abundant number, since it is smaller than the sum of its proper divisors (1053860496).

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

396034800 is a wasteful number, since it uses less digits than its factorization.

396034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47175 (or 47164 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 396034800 is about 19900.6231058226. The cubic root of 396034800 is about 734.3635566045.

The spelling of 396034800 in words is "three hundred ninety-six million, thirty-four thousand, eight hundred".