3368889792 has 252 divisors, whose sum is σ = 10258415856. Its totient is φ = 1097349120.

The previous prime is 3368889781. The next prime is 3368889803. The reversal of 3368889792 is 2979888633.

It is an interprime number because it is at equal distance from previous prime (3368889781) and next prime (3368889803).

It is a super-2 number, since 2×3368889792² = 22698836861283606528, which contains 22 as substring.

Its product of digits (31352832) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29813128 + ... + 29813240.

Almost surely, 2^3368889792 is an apocalyptic number.

3368889792 is a gapful number since it is divisible by the number (32) 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 3368889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129207928).

3368889792 is an abundant number, since it is smaller than the sum of its proper divisors (6889526064).

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

3368889792 is an frugal number, since it uses more digits than its factorization.

3368889792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 189 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 3368889792 is about 58042.1380722661. The cubic root of 3368889792 is about 1499.0942371726.

The spelling of 3368889792 in words is "three billion, three hundred sixty-eight million, eight hundred eighty-nine thousand, seven hundred ninety-two".