38640096 has 72 divisors (see below), whose sum is σ = 119881944. Its totient is φ = 11708160.

The previous prime is 38640079. The next prime is 38640097. The reversal of 38640096 is 69004683.

38640096 is a `hidden beast` number, since 3 + 8 + 640 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 38640096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38640097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2931 + ... + 9266.

It is an arithmetic number, because the mean of its divisors is an integer number (1665027).

Almost surely, 2^38640096 is an apocalyptic number.

38640096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38640096 is an abundant number, since it is smaller than the sum of its proper divisors (81241848).

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

38640096 is a wasteful number, since it uses less digits than its factorization.

38640096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12224 (or 12213 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 38640096 is about 6216.1158290367. The cubic root of 38640096 is about 338.0747474242.

The spelling of 38640096 in words is "thirty-eight million, six hundred forty thousand, ninety-six".