3742627173372 has 96 divisors (see below), whose sum is σ = 9785652800000. Its totient is φ = 1236952829952.

The previous prime is 3742627173371. The next prime is 3742627173391. The reversal of 3742627173372 is 2733717262473.

3742627173372 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 627 + 1 + 7 + 3 + 3 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742627173371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11382129 + ... + 11706327.

Almost surely, 2^{3742627173372} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742627173372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892826400000).

3742627173372 is an abundant number, since it is smaller than the sum of its proper divisors (6043025626628).

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

3742627173372 is a wasteful number, since it uses less digits than its factorization.

3742627173372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325120 (or 325112 counting only the distinct ones).

The product of its digits is 12446784, while the sum is 54.

The spelling of 3742627173372 in words is "three trillion, seven hundred forty-two billion, six hundred twenty-seven million, one hundred seventy-three thousand, three hundred seventy-two".