3408972998480 has 360 divisors, whose sum is σ = 9824799270816. Its totient is φ = 1096594329600.

The previous prime is 3408972998477. The next prime is 3408972998527. The reversal of 3408972998480 is 848992798043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 374978735 + ... + 374987825.

Almost surely, 2^{3408972998480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408972998480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912399635408).

3408972998480 is an abundant number, since it is smaller than the sum of its proper divisors (6415826272336).

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

3408972998480 is a wasteful number, since it uses less digits than its factorization.

3408972998480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9483 (or 9453 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 71.

The spelling of 3408972998480 in words is "three trillion, four hundred eight billion, nine hundred seventy-two million, nine hundred ninety-eight thousand, four hundred eighty".