38911920 has 80 divisors (see below), whose sum is σ = 122334432. Its totient is φ = 10229760.

The previous prime is 38911919. The next prime is 38911921. The reversal of 38911920 is 2911983.

It is an interprime number because it is at equal distance from previous prime (38911919) and next prime (38911921).

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38911921) 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, 16410 + ... + 18630.

Almost surely, 2^38911920 is an apocalyptic number.

38911920 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 38911920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61167216).

38911920 is an abundant number, since it is smaller than the sum of its proper divisors (83422512).

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

38911920 is a wasteful number, since it uses less digits than its factorization.

38911920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 38911920 is about 6237.9419683097. The cubic root of 38911920 is about 338.8656545131.

The spelling of 38911920 in words is "thirty-eight million, nine hundred eleven thousand, nine hundred twenty".