38509920 has 144 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 10033152.

The previous prime is 38509907. The next prime is 38509921. The reversal of 38509920 is 2990583.

It is a tau number, because it is divible by the number of its divisors (144).

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 (38509921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67396 + ... + 67964.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^38509920 is an apocalyptic number.

38509920 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 38509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

38509920 is an abundant number, since it is smaller than the sum of its proper divisors (95937120).

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

38509920 is a wasteful number, since it uses less digits than its factorization.

38509920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 38509920 is about 6205.6361478901. The cubic root of 38509920 is about 337.6946695862.

The spelling of 38509920 in words is "thirty-eight million, five hundred nine thousand, nine hundred twenty".