38620320 has 96 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 10122240.

The previous prime is 38620303. The next prime is 38620357. The reversal of 38620320 is 2302683.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28621 + ... + 29939.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^38620320 is an apocalyptic number.

38620320 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 38620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

38620320 is an abundant number, since it is smaller than the sum of its proper divisors (85121760).

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

38620320 is a wasteful number, since it uses less digits than its factorization.

38620320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 38620320 is about 6214.5249215045. The cubic root of 38620320 is about 338.0170620333.

It can be divided in two parts, 386 and 20320, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 38620320 in words is "thirty-eight million, six hundred twenty thousand, three hundred twenty".