3390402566880 has 576 divisors, whose sum is σ = 13814650543680. Its totient is φ = 774339084288.

The previous prime is 3390402566879. The next prime is 3390402566899. The reversal of 3390402566880 is 886652040933.

3390402566880 is a `hidden beast` number, since 3 + 39 + 0 + 40 + 2 + 566 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×3390402566880² (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 95 ways as a sum of consecutive naturals, for example, 303331852 + ... + 303343028.

It is an arithmetic number, because the mean of its divisors is an integer number (23983768305).

Almost surely, 2^{3390402566880} is an apocalyptic number.

3390402566880 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 3390402566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907325271840).

3390402566880 is an abundant number, since it is smaller than the sum of its proper divisors (10424247976800).

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

3390402566880 is a wasteful number, since it uses less digits than its factorization.

3390402566880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12648 (or 12627 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3390402566880 in words is "three trillion, three hundred ninety billion, four hundred two million, five hundred sixty-six thousand, eight hundred eighty".