3898397479680 has 1152 divisors, whose sum is σ = 15934055961600. Its totient is φ = 892610150400.

The previous prime is 3898397479649. The next prime is 3898397479693. The reversal of 3898397479680 is 869747938983.

3898397479680 is a `hidden beast` number, since 3 + 8 + 9 + 83 + 9 + 7 + 479 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 3898397479680.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3300928690 + ... + 3300929870.

It is an arithmetic number, because the mean of its divisors is an integer number (13831645800).

Almost surely, 2^{3898397479680} is an apocalyptic number.

3898397479680 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 3898397479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967027980800).

3898397479680 is an abundant number, since it is smaller than the sum of its proper divisors (12035658481920).

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

3898397479680 is a wasteful number, since it uses less digits than its factorization.

3898397479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 81.

The spelling of 3898397479680 in words is "three trillion, eight hundred ninety-eight billion, three hundred ninety-seven million, four hundred seventy-nine thousand, six hundred eighty".