38726640 has 80 divisors (see below), whose sum is σ = 133399200. Its totient is φ = 10326528.

The previous prime is 38726621. The next prime is 38726683. The reversal of 38726640 is 4662783.

38726640 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 6 + 640 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 38726595 and 38726604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6805 + ... + 11124.

It is an arithmetic number, because the mean of its divisors is an integer number (1667490).

Almost surely, 2^38726640 is an apocalyptic number.

38726640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38726640 is an abundant number, since it is smaller than the sum of its proper divisors (94672560).

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

38726640 is a wasteful number, since it uses less digits than its factorization.

38726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17951 (or 17939 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38726640 is about 6223.0731957771. The cubic root of 38726640 is about 338.3269597404.

The spelling of 38726640 in words is "thirty-eight million, seven hundred twenty-six thousand, six hundred forty".