3202994249280 has 1120 divisors, whose sum is σ = 13430146270464. Its totient is φ = 709468471296.

The previous prime is 3202994249233. The next prime is 3202994249297. The reversal of 3202994249280 is 829424992023.

3202994249280 is a `hidden beast` number, since 3 + 20 + 2 + 99 + 42 + 492 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

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 159 ways as a sum of consecutive naturals, for example, 798152554 + ... + 798156566.

Almost surely, 2^{3202994249280} is an apocalyptic number.

3202994249280 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 3202994249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715073135232).

3202994249280 is an abundant number, since it is smaller than the sum of its proper divisors (10227152021184).

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

3202994249280 is a wasteful number, since it uses less digits than its factorization.

3202994249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3202994249280 in words is "three trillion, two hundred two billion, nine hundred ninety-four million, two hundred forty-nine thousand, two hundred eighty".