3726643872 has 96 divisors (see below), whose sum is σ = 11191122432. Its totient is φ = 1063689984.

The previous prime is 3726643861. The next prime is 3726643913. The reversal of 3726643872 is 2783466273.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876183 + ... + 880425.

It is an arithmetic number, because the mean of its divisors is an integer number (116574192).

Almost surely, 2^3726643872 is an apocalyptic number.

3726643872 is a gapful number since it is divisible by the number (32) 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 3726643872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595561216).

3726643872 is an abundant number, since it is smaller than the sum of its proper divisors (7464478560).

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

3726643872 is a wasteful number, since it uses less digits than its factorization.

3726643872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 5562 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The square root of 3726643872 is about 61046.2437173656. The cubic root of 3726643872 is about 1550.3840702077.

The spelling of 3726643872 in words is "three billion, seven hundred twenty-six million, six hundred forty-three thousand, eight hundred seventy-two".