3827180772 has 96 divisors (see below), whose sum is σ = 10594805760. Its totient is φ = 1191849120.

The previous prime is 3827180761. The next prime is 3827180801. The reversal of 3827180772 is 2770817283.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88897 + ... + 124727.

It is an arithmetic number, because the mean of its divisors is an integer number (110362560).

Almost surely, 2^3827180772 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 3827180772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297402880).

3827180772 is an abundant number, since it is smaller than the sum of its proper divisors (6767624988).

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

3827180772 is a wasteful number, since it uses less digits than its factorization.

3827180772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35910 (or 35902 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 3827180772 is about 61864.2123687031. The cubic root of 3827180772 is about 1564.2025588909.

The spelling of 3827180772 in words is "three billion, eight hundred twenty-seven million, one hundred eighty thousand, seven hundred seventy-two".