3290764608720 has 240 divisors, whose sum is σ = 11469832133760. Its totient is φ = 844515818496.

The previous prime is 3290764608701. The next prime is 3290764608731. The reversal of 3290764608720 is 278064670923.

3290764608720 is a `hidden beast` number, since 3 + 2 + 9 + 0 + 7 + 6 + 4 + 608 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6153477 + ... + 6666843.

It is an arithmetic number, because the mean of its divisors is an integer number (47790967224).

Almost surely, 2^{3290764608720} is an apocalyptic number.

3290764608720 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 3290764608720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734916066880).

3290764608720 is an abundant number, since it is smaller than the sum of its proper divisors (8179067525040).

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

3290764608720 is a wasteful number, since it uses less digits than its factorization.

3290764608720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513722 (or 513713 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3290764608720 in words is "three trillion, two hundred ninety billion, seven hundred sixty-four million, six hundred eight thousand, seven hundred twenty".