3007125388800 has 1440 divisors, whose sum is σ = 12411605606400. Its totient is φ = 716038963200.

The previous prime is 3007125388777. The next prime is 3007125388867. The reversal of 3007125388800 is 88835217003.

3007125388800 is a `hidden beast` number, since 30 + 0 + 7 + 1 + 2 + 538 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1253490001 + ... + 1253492399.

It is an arithmetic number, because the mean of its divisors is an integer number (8619170560).

Almost surely, 2^{3007125388800} is an apocalyptic number.

3007125388800 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 3007125388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205802803200).

3007125388800 is an abundant number, since it is smaller than the sum of its proper divisors (9404480217600).

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

3007125388800 is a wasteful number, since it uses less digits than its factorization.

3007125388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 3007125388800 in words is "three trillion, seven billion, one hundred twenty-five million, three hundred eighty-eight thousand, eight hundred".