38700816 has 160 divisors (see below), whose sum is σ = 128467968. Its totient is φ = 9745920.

The previous prime is 38700811. The next prime is 38700821. The reversal of 38700816 is 61800783.

It is an interprime number because it is at equal distance from previous prime (38700811) and next prime (38700821).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38700811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136611 + ... + 136893.

Almost surely, 2^38700816 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 38700816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64233984).

38700816 is an abundant number, since it is smaller than the sum of its proper divisors (89767152).

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

38700816 is a wasteful number, since it uses less digits than its factorization.

38700816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 38700816 is about 6220.9979906764. The cubic root of 38700816 is about 338.2517410783.

Subtracting from 38700816 its sum of digits (33), we obtain a palindrome (38700783).

The spelling of 38700816 in words is "thirty-eight million, seven hundred thousand, eight hundred sixteen".