3813262272 has 140 divisors (see below), whose sum is σ = 11417189256. Its totient is φ = 1258329600.

The previous prime is 3813262223. The next prime is 3813262279. The reversal of 3813262272 is 2722623183.

3813262272 is a `hidden beast` number, since 381 + 3 + 2 + 6 + 2 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813262279) 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, 519943 + ... + 527225.

Almost surely, 2^3813262272 is an apocalyptic number.

3813262272 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 3813262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708594628).

3813262272 is an abundant number, since it is smaller than the sum of its proper divisors (7603926984).

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

3813262272 is a wasteful number, since it uses less digits than its factorization.

3813262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 7389 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3813262272 is about 61751.6175658581. The cubic root of 3813262272 is about 1562.3040509646.

It can be divided in two parts, 3813 and 262272, that added together give a triangular number (266085 = T₇₂₉).

The spelling of 3813262272 in words is "three billion, eight hundred thirteen million, two hundred sixty-two thousand, two hundred seventy-two".