3479598648000 has 784 divisors, whose sum is σ = 12954251179584. Its totient is φ = 925431091200.

The previous prime is 3479598647999. The next prime is 3479598648037. The reversal of 3479598648000 is 8468959743.

3479598648000 is a `hidden beast` number, since 3 + 4 + 79 + 5 + 9 + 86 + 480 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3598343517 + ... + 3598344483.

Almost surely, 2^{3479598648000} is an apocalyptic number.

3479598648000 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 3479598648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477125589792).

3479598648000 is an abundant number, since it is smaller than the sum of its proper divisors (9474652531584).

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

3479598648000 is an frugal number, since it uses more digits than its factorization.

3479598648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3479598648000 in words is "three trillion, four hundred seventy-nine billion, five hundred ninety-eight million, six hundred forty-eight thousand".