3395797998480 has 280 divisors, whose sum is σ = 12533753504952. Its totient is φ = 852278464512.

The previous prime is 3395797998431. The next prime is 3395797998577. The reversal of 3395797998480 is 848997975933.

3395797998480 is a `hidden beast` number, since 3 + 39 + 579 + 7 + 9 + 9 + 8 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 451842084864 + 2943955913616 = 672192^2 + 1715796^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 3395797998480.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 721119 + ... + 2703998.

Almost surely, 2^{3395797998480} is an apocalyptic number.

3395797998480 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 3395797998480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266876752476).

3395797998480 is an abundant number, since it is smaller than the sum of its proper divisors (9137955506472).

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

3395797998480 is a wasteful number, since it uses less digits than its factorization.

3395797998480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425165 (or 3425144 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 3395797998480 in words is "three trillion, three hundred ninety-five billion, seven hundred ninety-seven million, nine hundred ninety-eight thousand, four hundred eighty".