3329730432 has 384 divisors, whose sum is σ = 11754512640. Its totient is φ = 883113984.

The previous prime is 3329730427. The next prime is 3329730451. The reversal of 3329730432 is 2340379233.

It is a happy number.

3329730432 is a `hidden beast` number, since 33 + 297 + 304 + 32 = 666.

3329730432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3329730432² = 22174209499573813248, 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 47 ways as a sum of consecutive naturals, for example, 14668303 + ... + 14668529.

It is an arithmetic number, because the mean of its divisors is an integer number (30610710).

Almost surely, 2^3329730432 is an apocalyptic number.

3329730432 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 3329730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877256320).

3329730432 is an abundant number, since it is smaller than the sum of its proper divisors (8424782208).

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

3329730432 is a wasteful number, since it uses less digits than its factorization.

3329730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 3329730432 is about 57703.8164422424. The cubic root of 3329730432 is about 1493.2631861891.

The spelling of 3329730432 in words is "three billion, three hundred twenty-nine million, seven hundred thirty thousand, four hundred thirty-two".