3891618432 has 240 divisors, whose sum is σ = 12546445230. Its totient is φ = 1196881920.

The previous prime is 3891618407. The next prime is 3891618433. The reversal of 3891618432 is 2348161983.

3891618432 is a `hidden beast` number, since 389 + 161 + 84 + 32 = 666.

3891618432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2306304576 + 1585313856 = 48024^2 + 39816^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3891618433) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1751082 + ... + 1753302.

Almost surely, 2^3891618432 is an apocalyptic number.

3891618432 is a gapful number since it is divisible by the number (32) 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 3891618432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273222615).

3891618432 is an abundant number, since it is smaller than the sum of its proper divisors (8654826798).

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

3891618432 is a wasteful number, since it uses less digits than its factorization.

3891618432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2239 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3891618432 is about 62382.8376398509. The cubic root of 3891618432 is about 1572.9324926064.

The spelling of 3891618432 in words is "three billion, eight hundred ninety-one million, six hundred eighteen thousand, four hundred thirty-two".