3881600640 has 192 divisors, whose sum is σ = 13452720840. Its totient is φ = 1031307264.

The previous prime is 3881600627. The next prime is 3881600651. The reversal of 3881600640 is 460061883.

It is a happy number.

3881600640 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 6 + 0 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 889948224 + 2991652416 = 29832^2 + 54696^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 3881600595 and 3881600604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801804 + ... + 1803956.

Almost surely, 2^3881600640 is an apocalyptic number.

3881600640 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 3881600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726360420).

3881600640 is an abundant number, since it is smaller than the sum of its proper divisors (9571120200).

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

3881600640 is a wasteful number, since it uses less digits than its factorization.

3881600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2476 counting only the distinct ones).

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

The square root of 3881600640 is about 62302.4930480314. The cubic root of 3881600640 is about 1571.5816535324.

The spelling of 3881600640 in words is "three billion, eight hundred eighty-one million, six hundred thousand, six hundred forty".