3369098880 has 768 divisors, whose sum is σ = 14567558400. Its totient is φ = 732340224.

The previous prime is 3369098849. The next prime is 3369098881. The reversal of 3369098880 is 888909633.

It is a super-2 number, since 2×3369098880² = 22701654526434508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3369098881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19474474 + ... + 19474646.

It is an arithmetic number, because the mean of its divisors is an integer number (18968175).

Almost surely, 2^3369098880 is an apocalyptic number.

3369098880 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 3369098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283779200).

3369098880 is an abundant number, since it is smaller than the sum of its proper divisors (11198459520).

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

3369098880 is a wasteful number, since it uses less digits than its factorization.

3369098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3369098880 is about 58043.9392184921. The cubic root of 3369098880 is about 1499.1252499741.

The spelling of 3369098880 in words is "three billion, three hundred sixty-nine million, ninety-eight thousand, eight hundred eighty".