38707920 has 120 divisors (see below), whose sum is σ = 133599336. Its totient is φ = 10036224.

The previous prime is 38707913. The next prime is 38707943. The reversal of 38707920 is 2970783.

It can be written as a sum of positive squares in 4 ways, for example, as 22353984 + 16353936 = 4728^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25914 + ... + 27366.

Almost surely, 2^38707920 is an apocalyptic number.

38707920 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 38707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66799668).

38707920 is an abundant number, since it is smaller than the sum of its proper divisors (94891416).

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

38707920 is a wasteful number, since it uses less digits than its factorization.

38707920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 38707920 is about 6221.5689339587. The cubic root of 38707920 is about 338.2724365364.

The spelling of 38707920 in words is "thirty-eight million, seven hundred seven thousand, nine hundred twenty".