3313536768 has 288 divisors, whose sum is σ = 10772697600. Its totient is φ = 999972864.

The previous prime is 3313536757. The next prime is 3313536769. The reversal of 3313536768 is 8676353133.

3313536768 is a `hidden beast` number, since 33 + 13 + 536 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313536769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3019996 + ... + 3021092.

It is an arithmetic number, because the mean of its divisors is an integer number (37405200).

Almost surely, 2^3313536768 is an apocalyptic number.

3313536768 is a gapful number since it is divisible by the number (38) 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 3313536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386348800).

3313536768 is an abundant number, since it is smaller than the sum of its proper divisors (7459160832).

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

3313536768 is a wasteful number, since it uses less digits than its factorization.

3313536768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1144 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3313536768 is about 57563.3283262877. The cubic root of 3313536768 is about 1490.8384944634.

The spelling of 3313536768 in words is "three billion, three hundred thirteen million, five hundred thirty-six thousand, seven hundred sixty-eight".