3362536768 has 112 divisors (see below), whose sum is σ = 7066483200. Its totient is φ = 1585520640.

The previous prime is 3362536757. The next prime is 3362536787. The reversal of 3362536768 is 8676352633.

It is a super-2 number, since 2×3362536768² = 22613307032303771648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24190843 + ... + 24190981.

It is an arithmetic number, because the mean of its divisors is an integer number (63093600).

Almost surely, 2^3362536768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3362536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533241600).

3362536768 is an abundant number, since it is smaller than the sum of its proper divisors (3703946432).

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

3362536768 is a wasteful number, since it uses less digits than its factorization.

3362536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 49.

The square root of 3362536768 is about 57987.3845590573. The cubic root of 3362536768 is about 1498.1513177780.

The spelling of 3362536768 in words is "three billion, three hundred sixty-two million, five hundred thirty-six thousand, seven hundred sixty-eight".