38645880 has 128 divisors (see below), whose sum is σ = 142732800. Its totient is φ = 8151552.

The previous prime is 38645857. The next prime is 38645881. The reversal of 38645880 is 8854683.

It is a super-3 number, since 3×38645880³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38645881) 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, 9151 + ... + 12689.

It is an arithmetic number, because the mean of its divisors is an integer number (1115100).

Almost surely, 2^38645880 is an apocalyptic number.

38645880 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 38645880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71366400).

38645880 is an abundant number, since it is smaller than the sum of its proper divisors (104086920).

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

38645880 is a wasteful number, since it uses less digits than its factorization.

38645880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 38645880 is about 6216.5810539235. The cubic root of 38645880 is about 338.0916152806.

The spelling of 38645880 in words is "thirty-eight million, six hundred forty-five thousand, eight hundred eighty".