3326479488000 has 1584 divisors, whose sum is σ = 13236404644944. Its totient is φ = 831297945600.

The previous prime is 3326479487971. The next prime is 3326479488041. The reversal of 3326479488000 is 8849746233.

3326479488000 is a `hidden beast` number, since 3 + 32 + 64 + 79 + 488 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1112906843136 + 2213572644864 = 1054944^2 + 1487808^2 .

It is a super-2 number, since 2×3326479488000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14276735884 + ... + 14276736116.

Almost surely, 2^{3326479488000} is an apocalyptic number.

3326479488000 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 3326479488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618202322472).

3326479488000 is an abundant number, since it is smaller than the sum of its proper divisors (9909925156944).

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

3326479488000 is an frugal number, since it uses more digits than its factorization.

3326479488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3326479488000 in words is "three trillion, three hundred twenty-six billion, four hundred seventy-nine million, four hundred eighty-eight thousand".