3330614880 has 432 divisors, whose sum is σ = 12356744400. Its totient is φ = 816334848.

The previous prime is 3330614867. The next prime is 3330614897. The reversal of 3330614880 is 884160333.

It is a happy number.

3330614880 is a `hidden beast` number, since 3 + 3 + 30 + 614 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×3330614880² = 22185990957754828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22353046 + ... + 22353194.

It is an arithmetic number, because the mean of its divisors is an integer number (28603575).

Almost surely, 2^3330614880 is an apocalyptic number.

3330614880 is a gapful number since it is divisible by the number (30) 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 3330614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178372200).

3330614880 is an abundant number, since it is smaller than the sum of its proper divisors (9026129520).

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

3330614880 is a wasteful number, since it uses less digits than its factorization.

3330614880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3330614880 is about 57711.4796206093. The cubic root of 3330614880 is about 1493.3953887549.

The spelling of 3330614880 in words is "three billion, three hundred thirty million, six hundred fourteen thousand, eight hundred eighty".