3749792 has 48 divisors (see below), whose sum is σ = 8015112. Its totient is φ = 1720320.

The previous prime is 3749773. The next prime is 3749807. The reversal of 3749792 is 2979473.

3749792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1547536 + 2202256 = 1244^2 + 1484^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33128 + ... + 33240.

Almost surely, 2^3749792 is an apocalyptic number.

3749792 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 3749792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007556).

3749792 is an abundant number, since it is smaller than the sum of its proper divisors (4265320).

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

3749792 is a wasteful number, since it uses less digits than its factorization.

3749792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its digits is 95256, while the sum is 41.

The square root of 3749792 is about 1936.4379669899. The cubic root of 3749792 is about 155.3587527808.

The spelling of 3749792 in words is "three million, seven hundred forty-nine thousand, seven hundred ninety-two".