3381799680 has 432 divisors, whose sum is σ = 13966979040. Its totient is φ = 772595712.

The previous prime is 3381799669. The next prime is 3381799691. The reversal of 3381799680 is 869971833.

It is an interprime number because it is at equal distance from previous prime (3381799669) and next prime (3381799691).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3381799680² = 22873138151296204800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692442 + ... + 1694438.

It is an arithmetic number, because the mean of its divisors is an integer number (32330970).

Almost surely, 2^3381799680 is an apocalyptic number.

3381799680 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 3381799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983489520).

3381799680 is an abundant number, since it is smaller than the sum of its proper divisors (10585179360).

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

3381799680 is a wasteful number, since it uses less digits than its factorization.

3381799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 3381799680 is about 58153.2430737960. The cubic root of 3381799680 is about 1501.0066842401.

The spelling of 3381799680 in words is "three billion, three hundred eighty-one million, seven hundred ninety-nine thousand, six hundred eighty".