3298008960 has 320 divisors, whose sum is σ = 11903118480. Its totient is φ = 870137856.

The previous prime is 3298008953. The next prime is 3298008979. The reversal of 3298008960 is 698008923.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 5857639 + ... + 5858201.

Almost surely, 2^3298008960 is an apocalyptic number.

3298008960 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 3298008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951559240).

3298008960 is an abundant number, since it is smaller than the sum of its proper divisors (8605109520).

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

3298008960 is a wasteful number, since it uses less digits than its factorization.

3298008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3298008960 is about 57428.2940718249. The cubic root of 3298008960 is about 1488.5060713611.

The spelling of 3298008960 in words is "three billion, two hundred ninety-eight million, eight thousand, nine hundred sixty".