38964720 has 80 divisors (see below), whose sum is σ = 121599360. Its totient is φ = 10321152.

The previous prime is 38964707. The next prime is 38964727. The reversal of 38964720 is 2746983.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38964727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42507 + ... + 43413.

It is an arithmetic number, because the mean of its divisors is an integer number (1519992).

Almost surely, 2^38964720 is an apocalyptic number.

38964720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38964720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60799680).

38964720 is an abundant number, since it is smaller than the sum of its proper divisors (82634640).

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

38964720 is a wasteful number, since it uses less digits than its factorization.

38964720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 38964720 is about 6242.1726986683. The cubic root of 38964720 is about 339.0188553830.

The spelling of 38964720 in words is "thirty-eight million, nine hundred sixty-four thousand, seven hundred twenty".