3329933760 has 224 divisors, whose sum is σ = 12021799680. Its totient is φ = 867234816.

The previous prime is 3329933753. The next prime is 3329933773. The reversal of 3329933760 is 673399233.

It is a super-2 number, since 2×3329933760² = 22176917691975475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 367039 + ... + 376001.

Almost surely, 2^3329933760 is an apocalyptic number.

3329933760 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 3329933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010899840).

3329933760 is an abundant number, since it is smaller than the sum of its proper divisors (8691865920).

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

3329933760 is a wasteful number, since it uses less digits than its factorization.

3329933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9032 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 45.

The square root of 3329933760 is about 57705.5782398894. The cubic root of 3329933760 is about 1493.2935806453.

The spelling of 3329933760 in words is "three billion, three hundred twenty-nine million, nine hundred thirty-three thousand, seven hundred sixty".