3827662272 has 168 divisors, whose sum is σ = 12566672352. Its totient is φ = 1091174400.

The previous prime is 3827662253. The next prime is 3827662283. The reversal of 3827662272 is 2722667283.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2583772 + ... + 2585252.

Almost surely, 2^3827662272 is an apocalyptic number.

3827662272 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 3827662272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283336176).

3827662272 is an abundant number, since it is smaller than the sum of its proper divisors (8739010080).

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

3827662272 is a wasteful number, since it uses less digits than its factorization.

3827662272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2134 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 3827662272 is about 61868.1038338820. The cubic root of 3827662272 is about 1564.2681539067.

The spelling of 3827662272 in words is "three billion, eight hundred twenty-seven million, six hundred sixty-two thousand, two hundred seventy-two".