3891839616 has 256 divisors, whose sum is σ = 13819776000. Its totient is φ = 1053305856.

The previous prime is 3891839599. The next prime is 3891839629. The reversal of 3891839616 is 6169381983.

3891839616 is a `hidden beast` number, since 3 + 8 + 9 + 18 + 3 + 9 + 616 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455415 + ... + 463881.

It is an arithmetic number, because the mean of its divisors is an integer number (53983500).

Almost surely, 2^3891839616 is an apocalyptic number.

3891839616 is a gapful number since it is divisible by the number (36) 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 3891839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909888000).

3891839616 is an abundant number, since it is smaller than the sum of its proper divisors (9927936384).

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

3891839616 is a wasteful number, since it uses less digits than its factorization.

3891839616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8516 (or 8498 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 3891839616 is about 62384.6104099400. The cubic root of 3891839616 is about 1572.9622917688.

The spelling of 3891839616 in words is "three billion, eight hundred ninety-one million, eight hundred thirty-nine thousand, six hundred sixteen".