3683937672 has 160 divisors (see below), whose sum is σ = 11009659320. Its totient is φ = 1146839040.

The previous prime is 3683937619. The next prime is 3683937701. The reversal of 3683937672 is 2767393863.

3683937672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3027860676 + 656076996 = 55026^2 + 25614^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1507972 + ... + 1510412.

Almost surely, 2^3683937672 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 3683937672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504829660).

3683937672 is an abundant number, since it is smaller than the sum of its proper divisors (7325721648).

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

3683937672 is a wasteful number, since it uses less digits than its factorization.

3683937672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2600 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The square root of 3683937672 is about 60695.4501754456. The cubic root of 3683937672 is about 1544.4389932251.

The spelling of 3683937672 in words is "three billion, six hundred eighty-three million, nine hundred thirty-seven thousand, six hundred seventy-two".