3743904 has 48 divisors (see below), whose sum is σ = 10009440. Its totient is φ = 1224960.

The previous prime is 3743903. The next prime is 3743959. The reversal of 3743904 is 4093473.

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

It is a super-2 number, since 2×3743904² = 28033634322432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3743903) 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, 5334 + ... + 5994.

It is an arithmetic number, because the mean of its divisors is an integer number (208530).

Almost surely, 2^3743904 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 3743904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004720).

3743904 is an abundant number, since it is smaller than the sum of its proper divisors (6265536).

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

3743904 is a wasteful number, since it uses less digits than its factorization.

3743904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3743904 is about 1934.9170524857. The cubic root of 3743904 is about 155.2773943532.

It can be divided in two parts, 374 and 3904, that added together give a triangular number (4278 = T₉₂).

The spelling of 3743904 in words is "three million, seven hundred forty-three thousand, nine hundred four".