3837367872 has 140 divisors (see below), whose sum is σ = 12250387996. Its totient is φ = 1180707840.

The previous prime is 3837367871. The next prime is 3837367879. The reversal of 3837367872 is 2787637383.

It can be written as a sum of positive squares in 2 ways, for example, as 1209370176 + 2627997696 = 34776^2 + 51264^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3837367871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38922 + ... + 95862.

Almost surely, 2^3837367872 is an apocalyptic number.

3837367872 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 3837367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125193998).

3837367872 is an abundant number, since it is smaller than the sum of its proper divisors (8413020124).

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

3837367872 is a wasteful number, since it uses less digits than its factorization.

3837367872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56978 (or 56959 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 3837367872 is about 61946.4920072154. The cubic root of 3837367872 is about 1565.5891818834.

The spelling of 3837367872 in words is "three billion, eight hundred thirty-seven million, three hundred sixty-seven thousand, eight hundred seventy-two".