3201014587680 has 1152 divisors, whose sum is σ = 14120317612800. Its totient is φ = 675280779264.

The previous prime is 3201014587669. The next prime is 3201014587691. The reversal of 3201014587680 is 867854101023.

3201014587680 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 0 + 1 + 4 + 587 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3201014587669) and next prime (3201014587691).

It is a super-3 number, since 3×3201014587680³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 465057519 + ... + 465064401.

It is an arithmetic number, because the mean of its divisors is an integer number (12257220150).

Almost surely, 2^{3201014587680} is an apocalyptic number.

3201014587680 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 3201014587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060158806400).

3201014587680 is an abundant number, since it is smaller than the sum of its proper divisors (10919303025120).

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

3201014587680 is a wasteful number, since it uses less digits than its factorization.

3201014587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6960 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 3201014587680 in words is "three trillion, two hundred one billion, fourteen million, five hundred eighty-seven thousand, six hundred eighty".