3382364376 has 96 divisors (see below), whose sum is σ = 9247558320. Its totient is φ = 1116806400.

The previous prime is 3382364371. The next prime is 3382364389. The reversal of 3382364376 is 6734632833.

It is a super-2 number, since 2×3382364376² = 22880777544067738752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382364371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6007471 + ... + 6008033.

Almost surely, 2^3382364376 is an apocalyptic number.

3382364376 is a gapful number since it is divisible by the number (36) 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 3382364376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623779160).

3382364376 is an abundant number, since it is smaller than the sum of its proper divisors (5865193944).

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

3382364376 is a wasteful number, since it uses less digits than its factorization.

3382364376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1210 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The square root of 3382364376 is about 58158.0981119569. The cubic root of 3382364376 is about 1501.0902260794.

The spelling of 3382364376 in words is "three billion, three hundred eighty-two million, three hundred sixty-four thousand, three hundred seventy-six".