38702664 has 256 divisors, whose sum is σ = 145152000. Its totient is φ = 9227520.

The previous prime is 38702641. The next prime is 38702669. The reversal of 38702664 is 46620783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38702669) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 216127 + ... + 216305.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 2^38702664 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 38702664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

38702664 is an abundant number, since it is smaller than the sum of its proper divisors (106449336).

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

38702664 is a wasteful number, since it uses less digits than its factorization.

38702664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38702664 is about 6221.1465181267. The cubic root of 38702664 is about 338.2571249378.

The spelling of 38702664 in words is "thirty-eight million, seven hundred two thousand, six hundred sixty-four".