3279150120960 has 1824 divisors, whose sum is σ = 14229736381440. Its totient is φ = 713451110400.

The previous prime is 3279150120919. The next prime is 3279150121033. The reversal of 3279150120960 is 690210519723.

It is a happy number.

3279150120960 is a `hidden beast` number, since 32 + 7 + 9 + 1 + 501 + 20 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 53756559330 + ... + 53756559390.

It is an arithmetic number, because the mean of its divisors is an integer number (7801390560).

Almost surely, 2^{3279150120960} is an apocalyptic number.

3279150120960 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 3279150120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114868190720).

3279150120960 is an abundant number, since it is smaller than the sum of its proper divisors (10950586260480).

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

3279150120960 is an frugal number, since it uses more digits than its factorization.

3279150120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 3279150120960 in words is "three trillion, two hundred seventy-nine billion, one hundred fifty million, one hundred twenty thousand, nine hundred sixty".