3296129760 has 672 divisors, whose sum is σ = 14595904512. Its totient is φ = 683043840.

The previous prime is 3296129713. The next prime is 3296129791. The reversal of 3296129760 is 679216923.

It is a happy number.

3296129760 is a `hidden beast` number, since 3 + 29 + 612 + 9 + 7 + 6 + 0 = 666.

3296129760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 111 ways as a sum of consecutive naturals, for example, 8981097 + ... + 8981463.

It is an arithmetic number, because the mean of its divisors is an integer number (21720096).

Almost surely, 2^3296129760 is an apocalyptic number.

3296129760 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 3296129760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297952256).

3296129760 is an abundant number, since it is smaller than the sum of its proper divisors (11299774752).

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

3296129760 is a wasteful number, since it uses less digits than its factorization.

3296129760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3296129760 is about 57411.9304674560. The cubic root of 3296129760 is about 1488.2233015555.

The spelling of 3296129760 in words is "three billion, two hundred ninety-six million, one hundred twenty-nine thousand, seven hundred sixty".