38815920 has 360 divisors, whose sum is σ = 159297840. Its totient is φ = 8386560.

The previous prime is 38815919. The next prime is 38815921. The reversal of 38815920 is 2951883.

It is an interprime number because it is at equal distance from previous prime (38815919) and next prime (38815921).

It is a tau number, because it is divible by the number of its divisors (360).

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 (38815921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1338466 + ... + 1338494.

It is an arithmetic number, because the mean of its divisors is an integer number (442494).

Almost surely, 2^38815920 is an apocalyptic number.

38815920 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 38815920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79648920).

38815920 is an abundant number, since it is smaller than the sum of its proper divisors (120481920).

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

38815920 is a wasteful number, since it uses less digits than its factorization.

38815920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 38815920 is about 6230.2423708873. The cubic root of 38815920 is about 338.5867520399.

It can be divided in two parts, 3881 and 5920, that added together give a square (9801 = 99²).

The spelling of 38815920 in words is "thirty-eight million, eight hundred fifteen thousand, nine hundred twenty".