3330919872 has 168 divisors, whose sum is σ = 10985674752. Its totient is φ = 945216000.

The previous prime is 3330919853. The next prime is 3330919877. The reversal of 3330919872 is 2789190333.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×3330919872³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330919877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606097 + ... + 611567.

Almost surely, 2^3330919872 is an apocalyptic number.

3330919872 is a gapful number since it is divisible by the number (32) 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 3330919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492837376).

3330919872 is an abundant number, since it is smaller than the sum of its proper divisors (7654754880).

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

3330919872 is a wasteful number, since it uses less digits than its factorization.

3330919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647 (or 5634 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3330919872 is about 57714.1219460194. The cubic root of 3330919872 is about 1493.4409719040.

The spelling of 3330919872 in words is "three billion, three hundred thirty million, nine hundred nineteen thousand, eight hundred seventy-two".