38413800 has 72 divisors (see below), whose sum is σ = 129012390. Its totient is φ = 10243200.

The previous prime is 38413789. The next prime is 38413819. The reversal of 38413800 is 831483.

It can be written as a sum of positive squares in 3 ways, for example, as 37234404 + 1179396 = 6102^2 + 1086^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 8871 + ... + 12470.

Almost surely, 2^38413800 is an apocalyptic number.

38413800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38413800 is an abundant number, since it is smaller than the sum of its proper divisors (90598590).

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

38413800 is a wasteful number, since it uses less digits than its factorization.

38413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21363 (or 21351 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38413800 is about 6197.8867366224. The cubic root of 38413800 is about 337.4134757622.

The spelling of 38413800 in words is "thirty-eight million, four hundred thirteen thousand, eight hundred".