3330149760 has 1152 divisors, whose sum is σ = 15237331200. Its totient is φ = 689762304.

The previous prime is 3330149729. The next prime is 3330149789. The reversal of 3330149760 is 679410333.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3330149760² = 22179794848056115200, 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 143 ways as a sum of consecutive naturals, for example, 144789109 + ... + 144789131.

It is an arithmetic number, because the mean of its divisors is an integer number (13226850).

Almost surely, 2^3330149760 is an apocalyptic number.

3330149760 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 3330149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600).

3330149760 is an abundant number, since it is smaller than the sum of its proper divisors (11907181440).

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

3330149760 is a wasteful number, since it uses less digits than its factorization.

3330149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3330149760 is about 57707.4497790363. The cubic root of 3330149760 is about 1493.3258680182.

The spelling of 3330149760 in words is "three billion, three hundred thirty million, one hundred forty-nine thousand, seven hundred sixty".