38629920 has 96 divisors (see below), whose sum is σ = 139079808. Its totient is φ = 8828928.

The previous prime is 38629919. The next prime is 38629957. The reversal of 38629920 is 2992683.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) 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 15 ways as a sum of consecutive naturals, for example, 2389 + ... + 9108.

It is an arithmetic number, because the mean of its divisors is an integer number (1448748).

Almost surely, 2^38629920 is an apocalyptic number.

38629920 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 38629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69539904).

38629920 is an abundant number, since it is smaller than the sum of its proper divisors (100449888).

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

38629920 is a wasteful number, since it uses less digits than its factorization.

38629920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11522 (or 11514 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 38629920 is about 6215.2972575734. The cubic root of 38629920 is about 338.0450671091.

The spelling of 38629920 in words is "thirty-eight million, six hundred twenty-nine thousand, nine hundred twenty".