3368538576 has 400 divisors, whose sum is σ = 11721124800. Its totient is φ = 922669056.

The previous prime is 3368538541. The next prime is 3368538599. The reversal of 3368538576 is 6758358633.

It is a happy number.

3368538576 is a `hidden beast` number, since 3 + 3 + 68 + 5 + 3 + 8 + 576 = 666.

It is a super-2 number, since 2×3368538576² = 22694104276000215552, 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5441595 + ... + 5442213.

It is an arithmetic number, because the mean of its divisors is an integer number (29302812).

Almost surely, 2^3368538576 is an apocalyptic number.

3368538576 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 3368538576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860562400).

3368538576 is an abundant number, since it is smaller than the sum of its proper divisors (8352586224).

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

3368538576 is a wasteful number, since it uses less digits than its factorization.

3368538576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 673 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 3368538576 is about 58039.1124673698. The cubic root of 3368538576 is about 1499.0421404669.

The spelling of 3368538576 in words is "three billion, three hundred sixty-eight million, five hundred thirty-eight thousand, five hundred seventy-six".