38648942640 has 800 divisors, whose sum is σ = 173191772160. Its totient is φ = 7751116800.

The previous prime is 38648942639. The next prime is 38648942681. The reversal of 38648942640 is 4624984683.

38648942640 is a `hidden beast` number, since 3 + 86 + 489 + 42 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14468505 + ... + 14471175.

Almost surely, 2^38648942640 is an apocalyptic number.

38648942640 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 38648942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86595886080).

38648942640 is an abundant number, since it is smaller than the sum of its proper divisors (134542829520).

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

38648942640 is a wasteful number, since it uses less digits than its factorization.

38648942640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 38648942640 in words is "thirty-eight billion, six hundred forty-eight million, nine hundred forty-two thousand, six hundred forty".