3727392 has 48 divisors (see below), whose sum is σ = 10033632. Its totient is φ = 1210880.

The previous prime is 3727387. The next prime is 3727397. The reversal of 3727392 is 2937273.

It is an interprime number because it is at equal distance from previous prime (3727387) and next prime (3727397).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3727392² = 27786902243328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3727397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3463 + ... + 4409.

It is an arithmetic number, because the mean of its divisors is an integer number (209034).

Almost surely, 2^3727392 is an apocalyptic number.

3727392 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 3727392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016816).

3727392 is an abundant number, since it is smaller than the sum of its proper divisors (6306240).

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

3727392 is a wasteful number, since it uses less digits than its factorization.

3727392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 993 counting only the distinct ones).

The product of its digits is 15876, while the sum is 33.

The square root of 3727392 is about 1930.6454879133. The cubic root of 3727392 is about 155.0487810388.

The spelling of 3727392 in words is "three million, seven hundred twenty-seven thousand, three hundred ninety-two".