38918880 has 576 divisors, whose sum is σ = 184923648. Its totient is φ = 7464960.

The previous prime is 38918843. The next prime is 38918903. The reversal of 38918880 is 8881983.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993754 + ... + 2993766.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

Almost surely, 2^38918880 is an apocalyptic number.

38918880 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 38918880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

38918880 is an abundant number, since it is smaller than the sum of its proper divisors (146004768).

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

38918880 is a wasteful number, since it uses less digits than its factorization.

38918880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 38918880 is about 6238.4998196682. The cubic root of 38918880 is about 338.8858571001.

The spelling of 38918880 in words is "thirty-eight million, nine hundred eighteen thousand, eight hundred eighty".