38672640 has 180 divisors, whose sum is σ = 138748764. Its totient is φ = 10285056.

The previous prime is 38672629. The next prime is 38672651. The reversal of 38672640 is 4627683.

38672640 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (38672629) and next prime (38672651).

It can be written as a sum of positive squares in 2 ways, for example, as 17438976 + 21233664 = 4176^2 + 4608^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 38672595 and 38672604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103494 + ... + 103866.

Almost surely, 2^38672640 is an apocalyptic number.

38672640 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 38672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69374382).

38672640 is an abundant number, since it is smaller than the sum of its proper divisors (100076124).

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

38672640 is an equidigital number, since it uses as much as digits as its factorization.

38672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 383 counting only the distinct ones).

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

The square root of 38672640 is about 6218.7329899265. The cubic root of 38672640 is about 338.1696334651.

The spelling of 38672640 in words is "thirty-eight million, six hundred seventy-two thousand, six hundred forty".