3296616960 has 640 divisors, whose sum is σ = 13364144640. Its totient is φ = 674758656.

The previous prime is 3296616899. The next prime is 3296616971. The reversal of 3296616960 is 696166923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37040596 + ... + 37040684.

It is an arithmetic number, because the mean of its divisors is an integer number (20881476).

Almost surely, 2^3296616960 is an apocalyptic number.

3296616960 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 3296616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682072320).

3296616960 is an abundant number, since it is smaller than the sum of its proper divisors (10067527680).

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

3296616960 is a wasteful number, since it uses less digits than its factorization.

3296616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 3296616960 is about 57416.1733312139. The cubic root of 3296616960 is about 1488.2966225637.

The spelling of 3296616960 in words is "three billion, two hundred ninety-six million, six hundred sixteen thousand, nine hundred sixty".