3386336976 has 120 divisors (see below), whose sum is σ = 10684177280. Its totient is φ = 1026146880.

The previous prime is 3386336971. The next prime is 3386337001. The reversal of 3386336976 is 6796336833.

It is a happy number.

It is a super-2 number, since 2×3386336976² = 22934556230049649152, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386336971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19881 + ... + 84663.

Almost surely, 2^3386336976 is an apocalyptic number.

3386336976 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 3386336976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342088640).

3386336976 is an abundant number, since it is smaller than the sum of its proper divisors (7297840304).

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

3386336976 is a wasteful number, since it uses less digits than its factorization.

3386336976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64822 (or 64799 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The square root of 3386336976 is about 58192.2415447283. The cubic root of 3386336976 is about 1501.6776749051.

The spelling of 3386336976 in words is "three billion, three hundred eighty-six million, three hundred thirty-six thousand, nine hundred seventy-six".