38161920 has 80 divisors (see below), whose sum is σ = 122023440. Its totient is φ = 10174464.

The previous prime is 38161909. The next prime is 38161931. The reversal of 38161920 is 2916183.

It is an interprime number because it is at equal distance from previous prime (38161909) and next prime (38161931).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5196 + ... + 10164.

It is an arithmetic number, because the mean of its divisors is an integer number (1525293).

Almost surely, 2^38161920 is an apocalyptic number.

38161920 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 38161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61011720).

38161920 is an abundant number, since it is smaller than the sum of its proper divisors (83861520).

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

38161920 is an equidigital number, since it uses as much as digits as its factorization.

38161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 38161920 is about 6177.5334883754. The cubic root of 38161920 is about 336.6743825090.

The spelling of 38161920 in words is "thirty-eight million, one hundred sixty-one thousand, nine hundred twenty".