3999471759360 has 2912 divisors, whose sum is σ = 18564449356800. Its totient is φ = 819354009600.

The previous prime is 3999471759347. The next prime is 3999471759433. The reversal of 3999471759360 is 639571749993.

3999471759360 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 471 + 7 + 5 + 93 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 56330588125 + ... + 56330588195.

Almost surely, 2^{3999471759360} is an apocalyptic number.

3999471759360 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 3999471759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9282224678400).

3999471759360 is an abundant number, since it is smaller than the sum of its proper divisors (14564977597440).

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

3999471759360 is an frugal number, since it uses more digits than its factorization.

3999471759360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 347208120, while the sum is 72.

The spelling of 3999471759360 in words is "three trillion, nine hundred ninety-nine billion, four hundred seventy-one million, seven hundred fifty-nine thousand, three hundred sixty".