38264800 has 72 divisors (see below), whose sum is σ = 106774416. Its totient is φ = 13117440.

The previous prime is 38264783. The next prime is 38264861. The reversal of 38264800 is 846283.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2184 + ... + 9016.

It is an arithmetic number, because the mean of its divisors is an integer number (1482978).

Almost surely, 2^38264800 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 38264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53387208).

38264800 is an abundant number, since it is smaller than the sum of its proper divisors (68509616).

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

38264800 is a wasteful number, since it uses less digits than its factorization.

38264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 38264800 is about 6185.8548317916. The cubic root of 38264800 is about 336.9766557454.

The spelling of 38264800 in words is "thirty-eight million, two hundred sixty-four thousand, eight hundred".