3298821120 has 528 divisors, whose sum is σ = 13665444480. Its totient is φ = 752467968.

The previous prime is 3298821109. The next prime is 3298821121. The reversal of 3298821120 is 211288923.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (3298821121) 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, 6773517 + ... + 6774003.

Almost surely, 2^3298821120 is an apocalyptic number.

3298821120 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 3298821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832722240).

3298821120 is an abundant number, since it is smaller than the sum of its proper divisors (10366623360).

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

3298821120 is a wasteful number, since it uses less digits than its factorization.

3298821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3298821120 is about 57435.3647154782. The cubic root of 3298821120 is about 1488.6282466781.

The spelling of 3298821120 in words is "three billion, two hundred ninety-eight million, eight hundred twenty-one thousand, one hundred twenty".