3040321996800 has 2304 divisors, whose sum is σ = 13600379520000. Its totient is φ = 656120217600.

The previous prime is 3040321996757. The next prime is 3040321996801. The reversal of 3040321996800 is 86991230403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3040321996801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4911666891 + ... + 4911667509.

It is an arithmetic number, because the mean of its divisors is an integer number (5902942500).

Almost surely, 2^{3040321996800} is an apocalyptic number.

3040321996800 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 3040321996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800189760000).

3040321996800 is an abundant number, since it is smaller than the sum of its proper divisors (10560057523200).

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

3040321996800 is a wasteful number, since it uses less digits than its factorization.

3040321996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 3040321996800 in words is "three trillion, forty billion, three hundred twenty-one million, nine hundred ninety-six thousand, eight hundred".