3329145792 has 112 divisors (see below), whose sum is σ = 11185265920. Its totient is φ = 951181056.

The previous prime is 3329145731. The next prime is 3329145797. The reversal of 3329145792 is 2975419233.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3329145792² = 22166423408782614528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329145797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125518 + ... + 149709.

Almost surely, 2^3329145792 is an apocalyptic number.

3329145792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3329145792 is an abundant number, since it is smaller than the sum of its proper divisors (7856120128).

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

3329145792 is a wasteful number, since it uses less digits than its factorization.

3329145792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275255 (or 275239 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 3329145792 is about 57698.7503504192. The cubic root of 3329145792 is about 1493.1757844702.

The spelling of 3329145792 in words is "three billion, three hundred twenty-nine million, one hundred forty-five thousand, seven hundred ninety-two".