3382522416 has 800 divisors, whose sum is σ = 13309148160. Its totient is φ = 804722688.

The previous prime is 3382522391. The next prime is 3382522433. The reversal of 3382522416 is 6142252833.

It is a super-2 number, since 2×3382522416² = 22882915789484954112, which contains 22 as substring.

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

Its product of digits (69120) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 78663291 + ... + 78663333.

Almost surely, 2^3382522416 is an apocalyptic number.

3382522416 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 3382522416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654574080).

3382522416 is an abundant number, since it is smaller than the sum of its proper divisors (9926625744).

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

3382522416 is a wasteful number, since it uses less digits than its factorization.

3382522416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3382522416 is about 58159.4568062667. The cubic root of 3382522416 is about 1501.1136050513.

The spelling of 3382522416 in words is "three billion, three hundred eighty-two million, five hundred twenty-two thousand, four hundred sixteen".