3826600272 has 320 divisors, whose sum is σ = 12502533120. Its totient is φ = 1110412800.

The previous prime is 3826600223. The next prime is 3826600307. The reversal of 3826600272 is 2720066283.

3826600272 is a `hidden beast` number, since 3 + 8 + 26 + 600 + 27 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12464343 + ... + 12464649.

It is an arithmetic number, because the mean of its divisors is an integer number (39070416).

Almost surely, 2^3826600272 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 3826600272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251266560).

3826600272 is an abundant number, since it is smaller than the sum of its proper divisors (8675932848).

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

3826600272 is a wasteful number, since it uses less digits than its factorization.

3826600272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

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

The square root of 3826600272 is about 61859.5204637087. The cubic root of 3826600272 is about 1564.1234697343.

The spelling of 3826600272 in words is "three billion, eight hundred twenty-six million, six hundred thousand, two hundred seventy-two".