3334313004 has 96 divisors (see below), whose sum is σ = 8816640000. Its totient is φ = 971611200.

The previous prime is 3334312997. The next prime is 3334313023. The reversal of 3334313004 is 4003134333.

3334313004 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 super-2 number, since 2×3334313004² = 22235286417287008032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664497 + ... + 669495.

It is an arithmetic number, because the mean of its divisors is an integer number (91840000).

Almost surely, 2^3334313004 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 3334313004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408320000).

3334313004 is an abundant number, since it is smaller than the sum of its proper divisors (5482326996).

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

3334313004 is a wasteful number, since it uses less digits than its factorization.

3334313004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 3334313004 is about 57743.5104925220. The cubic root of 3334313004 is about 1493.9479112104.

Adding to 3334313004 its reverse (4003134333), we get a palindrome (7337447337).

The spelling of 3334313004 in words is "three billion, three hundred thirty-four million, three hundred thirteen thousand, four".