3330134080 has 504 divisors, whose sum is σ = 10868750424. Its totient is φ = 959938560.

The previous prime is 3330133993. The next prime is 3330134083. The reversal of 3330134080 is 804310333.

It can be written as a sum of positive squares in 4 ways, for example, as 244109376 + 3086024704 = 15624^2 + 55552^2 .

It is a super-2 number, since 2×3330134080² = 22179585981554892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330134083) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107423665 + ... + 107423695.

It is an arithmetic number, because the mean of its divisors is an integer number (21564981).

Almost surely, 2^3330134080 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 3330134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434375212).

3330134080 is an abundant number, since it is smaller than the sum of its proper divisors (7538616344).

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

3330134080 is a wasteful number, since it uses less digits than its factorization.

3330134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3330134080 is about 57707.3139212007. The cubic root of 3330134080 is about 1493.3235242411.

The spelling of 3330134080 in words is "three billion, three hundred thirty million, one hundred thirty-four thousand, eighty".