3329282971920 has 80 divisors (see below), whose sum is σ = 10336391589312. Its totient is φ = 886465620480.

The previous prime is 3329282971901. The next prime is 3329282971921. The reversal of 3329282971920 is 291792829233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3329282971920² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3329282971921) 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, 10334562 + ... + 10651841.

Almost surely, 2^{3329282971920} is an apocalyptic number.

3329282971920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3329282971920 is an abundant number, since it is smaller than the sum of its proper divisors (7007108617392).

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

3329282971920 is a wasteful number, since it uses less digits than its factorization.

3329282971920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20987080 (or 20987074 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 3329282971920 in words is "three trillion, three hundred twenty-nine billion, two hundred eighty-two million, nine hundred seventy-one thousand, nine hundred twenty".