3749040 has 120 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 967680.

The previous prime is 3749029. The next prime is 3749071. The reversal of 3749040 is 409473.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 3748995 and 3749013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29457 + ... + 29583.

Almost surely, 2^3749040 is an apocalyptic number.

3749040 is a gapful number since it is divisible by the number (30) 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 3749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

3749040 is an abundant number, since it is smaller than the sum of its proper divisors (9250128).

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

3749040 is a wasteful number, since it uses less digits than its factorization.

3749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3749040 is about 1936.2437863038. The cubic root of 3749040 is about 155.3483666409.

The spelling of 3749040 in words is "three million, seven hundred forty-nine thousand, forty".