38797920 has 192 divisors, whose sum is σ = 155312640. Its totient is φ = 8861184.

The previous prime is 38797919. The next prime is 38797921. The reversal of 38797920 is 2979783.

It is an interprime number because it is at equal distance from previous prime (38797919) and next prime (38797921).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38797921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29599 + ... + 30881.

It is an arithmetic number, because the mean of its divisors is an integer number (808920).

Almost surely, 2^38797920 is an apocalyptic number.

38797920 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 38797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77656320).

38797920 is an abundant number, since it is smaller than the sum of its proper divisors (116514720).

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

38797920 is a wasteful number, since it uses less digits than its factorization.

38797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 38797920 is about 6228.7976367835. The cubic root of 38797920 is about 338.5344066462.

The spelling of 38797920 in words is "thirty-eight million, seven hundred ninety-seven thousand, nine hundred twenty".