3013891920000 has 2880 divisors, whose sum is σ = 13099338869760. Its totient is φ = 661340160000.

The previous prime is 3013891919939. The next prime is 3013891920037. The reversal of 3013891920000 is 291983103.

It is a tau number, because it is divible by the number of its divisors (2880).

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 359 ways as a sum of consecutive naturals, for example, 64125359977 + ... + 64125360023.

It is an arithmetic number, because the mean of its divisors is an integer number (4548381552).

Almost surely, 2^{3013891920000} is an apocalyptic number.

3013891920000 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 3013891920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549669434880).

3013891920000 is an abundant number, since it is smaller than the sum of its proper divisors (10085446949760).

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

3013891920000 is a wasteful number, since it uses less digits than its factorization.

3013891920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 3013891920000 in words is "three trillion, thirteen billion, eight hundred ninety-one million, nine hundred twenty thousand".