38618640 has 160 divisors (see below), whose sum is σ = 140169600. Its totient is φ = 9745920.

The previous prime is 38618581. The next prime is 38618641. The reversal of 38618640 is 4681683.

It is a happy number.

38618640 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 8 + 640 = 666.

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 = 38618595 and 38618604.

It is not an unprimeable number, because it can be changed into a prime (38618641) 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, 40570 + ... + 41510.

It is an arithmetic number, because the mean of its divisors is an integer number (876060).

Almost surely, 2^38618640 is an apocalyptic number.

38618640 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 38618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70084800).

38618640 is an abundant number, since it is smaller than the sum of its proper divisors (101550960).

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

38618640 is a wasteful number, since it uses less digits than its factorization.

38618640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38618640 is about 6214.3897528237. The cubic root of 38618640 is about 338.0121606679.

The spelling of 38618640 in words is "thirty-eight million, six hundred eighteen thousand, six hundred forty".