3399792480000 has 1080 divisors, whose sum is σ = 14615255183760. Its totient is φ = 777047040000.

The previous prime is 3399792479999. The next prime is 3399792480113. The reversal of 3399792480000 is 842979933.

3399792480000 is a `hidden beast` number, since 3 + 3 + 99 + 79 + 2 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 211671970 + ... + 211688030.

Almost surely, 2^{3399792480000} is an apocalyptic number.

3399792480000 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 3399792480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307627591880).

3399792480000 is an abundant number, since it is smaller than the sum of its proper divisors (11215462703760).

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

3399792480000 is an equidigital number, since it uses as much as digits as its factorization.

3399792480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16120 (or 16078 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 3399792480000 in words is "three trillion, three hundred ninety-nine billion, seven hundred ninety-two million, four hundred eighty thousand".