3294120960 has 660 divisors, whose sum is σ = 13054095648. Its totient is φ = 793608192.

The previous prime is 3294120917. The next prime is 3294120961. The reversal of 3294120960 is 690214923.

It is a super-2 number, since 2×3294120960² = 21702465798222643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3294120961) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70087657 + ... + 70087703.

Almost surely, 2^3294120960 is an apocalyptic number.

3294120960 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 3294120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6527047824).

3294120960 is an abundant number, since it is smaller than the sum of its proper divisors (9759974688).

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

3294120960 is a wasteful number, since it uses less digits than its factorization.

3294120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3294120960 is about 57394.4331795341. The cubic root of 3294120960 is about 1487.9209115093.

The spelling of 3294120960 in words is "three billion, two hundred ninety-four million, one hundred twenty thousand, nine hundred sixty".