3164016033120 has 48 divisors (see below), whose sum is σ = 9966650505840. Its totient is φ = 843737608704.

The previous prime is 3164016033091. The next prime is 3164016033121. The reversal of 3164016033120 is 213306104613.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164016033121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3295849555 + ... + 3295850514.

It is an arithmetic number, because the mean of its divisors is an integer number (207638552205).

Almost surely, 2^{3164016033120} is an apocalyptic number.

3164016033120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3164016033120 is an abundant number, since it is smaller than the sum of its proper divisors (6802634472720).

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

3164016033120 is a wasteful number, since it uses less digits than its factorization.

3164016033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591700087 (or 6591700079 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 3164016033120 in words is "three trillion, one hundred sixty-four billion, sixteen million, thirty-three thousand, one hundred twenty".