38522880 has 312 divisors, whose sum is σ = 153335520. Its totient is φ = 8847360.

The previous prime is 38522851. The next prime is 38522909. The reversal of 38522880 is 8822583.

It is an interprime number because it is at equal distance from previous prime (38522851) and next prime (38522909).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027511 + ... + 2027529.

It is an arithmetic number, because the mean of its divisors is an integer number (491460).

Almost surely, 2^38522880 is an apocalyptic number.

38522880 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 38522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76667760).

38522880 is an abundant number, since it is smaller than the sum of its proper divisors (114812640).

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

38522880 is a wasteful number, since it uses less digits than its factorization.

38522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 38522880 is about 6206.6802720939. The cubic root of 38522880 is about 337.7325475499.

The spelling of 38522880 in words is "thirty-eight million, five hundred twenty-two thousand, eight hundred eighty".