3298919040 has 384 divisors, whose sum is σ = 11912518800. Its totient is φ = 840499200.

The previous prime is 3298918991. The next prime is 3298919047. The reversal of 3298919040 is 409198923.

It can be written as a sum of positive squares in 8 ways, for example, as 478034496 + 2820884544 = 21864^2 + 53112^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (3298919047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14405646 + ... + 14405874.

Almost surely, 2^3298919040 is an apocalyptic number.

3298919040 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 3298919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956259400).

3298919040 is an abundant number, since it is smaller than the sum of its proper divisors (8613599760).

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

3298919040 is a wasteful number, since it uses less digits than its factorization.

3298919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 3298919040 is about 57436.2171456303. The cubic root of 3298919040 is about 1488.6429756808.

The spelling of 3298919040 in words is "three billion, two hundred ninety-eight million, nine hundred nineteen thousand, forty".