38465800 has 48 divisors (see below), whose sum is σ = 90479700. Its totient is φ = 15206400.

The previous prime is 38465797. The next prime is 38465851. The reversal of 38465800 is 856483.

It can be written as a sum of positive squares in 6 ways, for example, as 10227204 + 28238596 = 3198^2 + 5314^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 16720 + ... + 18880.

Almost surely, 2^38465800 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 38465800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45239850).

38465800 is an abundant number, since it is smaller than the sum of its proper divisors (52013900).

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

38465800 is a wasteful number, since it uses less digits than its factorization.

38465800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 38465800 is about 6202.0802961587. The cubic root of 38465800 is about 337.5656570937.

The spelling of 38465800 in words is "thirty-eight million, four hundred sixty-five thousand, eight hundred".