3389090664960 has 3840 divisors, whose sum is σ = 16779536040960. Its totient is φ = 630639820800.

The previous prime is 3389090664959. The next prime is 3389090665003. The reversal of 3389090664960 is 694660909833.

3389090664960 is a `hidden beast` number, since 3 + 3 + 89 + 0 + 9 + 0 + 66 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×3389090664960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46425899484 + ... + 46425899556.

It is an arithmetic number, because the mean of its divisors is an integer number (4369670844).

Almost surely, 2^{3389090664960} is an apocalyptic number.

3389090664960 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 3389090664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8389768020480).

3389090664960 is an abundant number, since it is smaller than the sum of its proper divisors (13390445376000).

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

3389090664960 is a wasteful number, since it uses less digits than its factorization.

3389090664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 3389090664960 in words is "three trillion, three hundred eighty-nine billion, ninety million, six hundred sixty-four thousand, nine hundred sixty".