3744312297180 has 768 divisors, whose sum is σ = 13813268152320. Its totient is φ = 735381504000.

The previous prime is 3744312297137. The next prime is 3744312297233. The reversal of 3744312297180 is 817922134473.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4358919591 + ... + 4358920449.

It is an arithmetic number, because the mean of its divisors is an integer number (17986026240).

Almost surely, 2^{3744312297180} is an apocalyptic number.

3744312297180 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 3744312297180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906634076160).

3744312297180 is an abundant number, since it is smaller than the sum of its proper divisors (10068955855140).

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

3744312297180 is a wasteful number, since it uses less digits than its factorization.

3744312297180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 3744312297180 in words is "three trillion, seven hundred forty-four billion, three hundred twelve million, two hundred ninety-seven thousand, one hundred eighty".