3333866976 has 288 divisors, whose sum is σ = 10831242240. Its totient is φ = 963532800.

The previous prime is 3333866947. The next prime is 3333867001. The reversal of 3333866976 is 6796683333.

It is a happy number.

3333866976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3333866976² = 22229338027326769152, 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 47 ways as a sum of consecutive naturals, for example, 8151060 + ... + 8151468.

It is an arithmetic number, because the mean of its divisors is an integer number (37608480).

Almost surely, 2^3333866976 is an apocalyptic number.

3333866976 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 3333866976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415621120).

3333866976 is an abundant number, since it is smaller than the sum of its proper divisors (7497375264).

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

3333866976 is a wasteful number, since it uses less digits than its factorization.

3333866976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The square root of 3333866976 is about 57739.6482150697. The cubic root of 3333866976 is about 1493.8812935581.

The spelling of 3333866976 in words is "three billion, three hundred thirty-three million, eight hundred sixty-six thousand, nine hundred seventy-six".