3007140372720 has 640 divisors, whose sum is σ = 12242546426880. Its totient is φ = 670160977920.

The previous prime is 3007140372683. The next prime is 3007140372749. The reversal of 3007140372720 is 272730417003.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 17281992 + ... + 17455128.

It is an arithmetic number, because the mean of its divisors is an integer number (19128978792).

Almost surely, 2^{3007140372720} is an apocalyptic number.

3007140372720 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 3007140372720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121273213440).

3007140372720 is an abundant number, since it is smaller than the sum of its proper divisors (9235406054160).

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

3007140372720 is a wasteful number, since it uses less digits than its factorization.

3007140372720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173230 (or 173218 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

Adding to 3007140372720 its reverse (272730417003), we get a palindrome (3279870789723).

The spelling of 3007140372720 in words is "three trillion, seven billion, one hundred forty million, three hundred seventy-two thousand, seven hundred twenty".