3834866272 has 48 divisors (see below), whose sum is σ = 7819428960. Its totient is φ = 1849136128.

The previous prime is 3834866267. The next prime is 3834866293. The reversal of 3834866272 is 2726684383.

It is a happy number.

It is a super-3 number, since 3×3834866272³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1016133 + ... + 1019899.

It is an arithmetic number, because the mean of its divisors is an integer number (162904770).

Almost surely, 2^3834866272 is an apocalyptic number.

3834866272 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 3834866272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909714480).

3834866272 is an abundant number, since it is smaller than the sum of its proper divisors (3984562688).

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

3834866272 is a wasteful number, since it uses less digits than its factorization.

3834866272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4895 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 49.

The square root of 3834866272 is about 61926.2970958219. The cubic root of 3834866272 is about 1565.2489026961.

The spelling of 3834866272 in words is "three billion, eight hundred thirty-four million, eight hundred sixty-six thousand, two hundred seventy-two".