3627873312 has 96 divisors (see below), whose sum is σ = 10962201600. Its totient is φ = 1029051648.

The previous prime is 3627873251. The next prime is 3627873317. The reversal of 3627873312 is 2133787263.

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

It is a super-2 number, since 2×3627873312² = 26322929535843698688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (3627873317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73989 + ... + 112827.

It is an arithmetic number, because the mean of its divisors is an integer number (114189600).

Almost surely, 2^3627873312 is an apocalyptic number.

3627873312 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 3627873312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481100800).

3627873312 is an abundant number, since it is smaller than the sum of its proper divisors (7334328288).

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

3627873312 is a wasteful number, since it uses less digits than its factorization.

3627873312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38998 (or 38990 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 3627873312 is about 60231.8297248224. The cubic root of 3627873312 is about 1536.5641780583.

The spelling of 3627873312 in words is "three billion, six hundred twenty-seven million, eight hundred seventy-three thousand, three hundred twelve".