38700400 has 60 divisors (see below), whose sum is σ = 96007744. Its totient is φ = 14976000.

The previous prime is 38700373. The next prime is 38700419. The reversal of 38700400 is 400783.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10840 + ... + 13960.

Almost surely, 2^38700400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48003872).

38700400 is an abundant number, since it is smaller than the sum of its proper divisors (57307344).

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

38700400 is a wasteful number, since it uses less digits than its factorization.

38700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 38700400 is about 6220.9645554367. The cubic root of 38700400 is about 338.2505291036.

The spelling of 38700400 in words is "thirty-eight million, seven hundred thousand, four hundred".