38209920 has 128 divisors (see below), whose sum is σ = 139242240. Its totient is φ = 8730624.

The previous prime is 38209883. The next prime is 38209921. The reversal of 38209920 is 2990283.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38209921) 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, 12019 + ... + 14861.

It is an arithmetic number, because the mean of its divisors is an integer number (1087830).

Almost surely, 2^38209920 is an apocalyptic number.

38209920 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 38209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69621120).

38209920 is an abundant number, since it is smaller than the sum of its proper divisors (101032320).

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

38209920 is a wasteful number, since it uses less digits than its factorization.

38209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 38209920 is about 6181.4173132058. The cubic root of 38209920 is about 336.8154795292.

The spelling of 38209920 in words is "thirty-eight million, two hundred nine thousand, nine hundred twenty".