38947184640 has 1344 divisors, whose sum is σ = 176326166016. Its totient is φ = 8026324992.

The previous prime is 38947184609. The next prime is 38947184651. The reversal of 38947184640 is 4648174983.

38947184640 is a `hidden beast` number, since 38 + 9 + 471 + 84 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 905748459 + ... + 905748501.

It is an arithmetic number, because the mean of its divisors is an integer number (131195064).

Almost surely, 2^38947184640 is an apocalyptic number.

38947184640 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 38947184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88163083008).

38947184640 is an abundant number, since it is smaller than the sum of its proper divisors (137378981376).

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

38947184640 is an equidigital number, since it uses as much as digits as its factorization.

38947184640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

38947184640 divided by its product of nonzero digits (4644864) gives a triangular number (8385 = T₁₂₉).

The spelling of 38947184640 in words is "thirty-eight billion, nine hundred forty-seven million, one hundred eighty-four thousand, six hundred forty".