3313672416 has 120 divisors (see below), whose sum is σ = 9787383144. Its totient is φ = 1104347520.

The previous prime is 3313672363. The next prime is 3313672423. The reversal of 3313672416 is 6142763133.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 627226 + ... + 632486.

Almost surely, 2^3313672416 is an apocalyptic number.

3313672416 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 3313672416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893691572).

3313672416 is an abundant number, since it is smaller than the sum of its proper divisors (6473710728).

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

3313672416 is an frugal number, since it uses more digits than its factorization.

3313672416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5266 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3313672416 is about 57564.5065643752. The cubic root of 3313672416 is about 1490.8588379327.

The spelling of 3313672416 in words is "three billion, three hundred thirteen million, six hundred seventy-two thousand, four hundred sixteen".