3741687672 has 64 divisors (see below), whose sum is σ = 9591160320. Its totient is φ = 1215848448.

The previous prime is 3741687661. The next prime is 3741687701. The reversal of 3741687672 is 2767861473.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283443 + ... + 296349.

It is an arithmetic number, because the mean of its divisors is an integer number (149861880).

Almost surely, 2^3741687672 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 3741687672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795580160).

3741687672 is an abundant number, since it is smaller than the sum of its proper divisors (5849472648).

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

3741687672 is a wasteful number, since it uses less digits than its factorization.

3741687672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13220 (or 13216 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 51.

The square root of 3741687672 is about 61169.3360434785. The cubic root of 3741687672 is about 1552.4674777248.

The spelling of 3741687672 in words is "three billion, seven hundred forty-one million, six hundred eighty-seven thousand, six hundred seventy-two".