3899574524160 has 1440 divisors, whose sum is σ = 16902715737600. Its totient is φ = 839419822080.

The previous prime is 3899574524117. The next prime is 3899574524161. The reversal of 3899574524160 is 614254759983.

3899574524160 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 574 + 52 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3899574524161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 862926381 + ... + 862930899.

It is an arithmetic number, because the mean of its divisors is an integer number (11737997040).

It is a 1-persistent number, because it is pandigital, but 2⋅3899574524160 = 7799149048320 is not.

Almost surely, 2^{3899574524160} is an apocalyptic number.

3899574524160 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 3899574524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451357868800).

3899574524160 is an abundant number, since it is smaller than the sum of its proper divisors (13003141213440).

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

3899574524160 is a wasteful number, since it uses less digits than its factorization.

3899574524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3899574524160 in words is "three trillion, eight hundred ninety-nine billion, five hundred seventy-four million, five hundred twenty-four thousand, one hundred sixty".