3926272 has 54 divisors (see below), whose sum is σ = 9145878. Its totient is φ = 1677312.

The previous prime is 3926249. The next prime is 3926291. The reversal of 3926272 is 2726293.

It can be written as a sum of positive squares in only one way, i.e., 2119936 + 1806336 = 1456^2 + 1344^2 .

It is a super-2 number, since 2×3926272² = 30831223635968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12388 + ... + 12700.

Almost surely, 2^3926272 is an apocalyptic number.

3926272 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 3926272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572939).

3926272 is an abundant number, since it is smaller than the sum of its proper divisors (5219606).

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

3926272 is an equidigital number, since it uses as much as digits as its factorization.

3926272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 322 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 3926272 is about 1981.4822734509. The cubic root of 3926272 is about 157.7587516273.

It can be divided in two parts, 392 and 6272, that multiplied together give a square (2458624 = 1568²).

The spelling of 3926272 in words is "three million, nine hundred twenty-six thousand, two hundred seventy-two".