3363530976 has 144 divisors (see below), whose sum is σ = 10323802944. Its totient is φ = 1032625152.

The previous prime is 3363530909. The next prime is 3363531001. The reversal of 3363530976 is 6790353633.

It is a happy number.

3363530976 is a `hidden beast` number, since 3 + 3 + 635 + 3 + 0 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3363530976² = 22626681253023025152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2534025 + ... + 2535351.

It is an arithmetic number, because the mean of its divisors is an integer number (71693076).

Almost surely, 2^3363530976 is an apocalyptic number.

3363530976 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 3363530976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161901472).

3363530976 is an abundant number, since it is smaller than the sum of its proper divisors (6960271968).

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

3363530976 is a wasteful number, since it uses less digits than its factorization.

3363530976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 45.

The square root of 3363530976 is about 57995.9565487112. The cubic root of 3363530976 is about 1498.2989570311.

The spelling of 3363530976 in words is "three billion, three hundred sixty-three million, five hundred thirty thousand, nine hundred seventy-six".