3004345240512 has 224 divisors, whose sum is σ = 9933346558464. Its totient is φ = 778545561600.

The previous prime is 3004345240499. The next prime is 3004345240543. The reversal of 3004345240512 is 2150425434003.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6166812 + ... + 6636132.

It is an arithmetic number, because the mean of its divisors is an integer number (44345297136).

Almost surely, 2^{3004345240512} is an apocalyptic number.

3004345240512 is a gapful number since it is divisible by the number (32) 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 3004345240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966673279232).

3004345240512 is an abundant number, since it is smaller than the sum of its proper divisors (6929001317952).

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

3004345240512 is a wasteful number, since it uses less digits than its factorization.

3004345240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469787 (or 469777 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 3004345240512 in words is "three trillion, four billion, three hundred forty-five million, two hundred forty thousand, five hundred twelve".