38652880 has 80 divisors (see below), whose sum is σ = 107207424. Its totient is φ = 12672000.

The previous prime is 38652869. The next prime is 38652881. The reversal of 38652880 is 8825683.

38652880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38652881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11380 + ... + 14380.

Almost surely, 2^38652880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38652880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53603712).

38652880 is an abundant number, since it is smaller than the sum of its proper divisors (68554544).

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

38652880 is a wasteful number, since it uses less digits than its factorization.

38652880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 38652880 is about 6217.1440388654. The cubic root of 38652880 is about 338.1120271023.

The spelling of 38652880 in words is "thirty-eight million, six hundred fifty-two thousand, eight hundred eighty".