3735440 has 40 divisors (see below), whose sum is σ = 8858808. Its totient is φ = 1464320.

The previous prime is 3735439. The next prime is 3735443. The reversal of 3735440 is 445373.

3735440 is digitally balanced in base 5, 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 246016 + 3489424 = 496^2 + 1868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3735443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3800 + ... + 4680.

Almost surely, 2^3735440 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 3735440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429404).

3735440 is an abundant number, since it is smaller than the sum of its proper divisors (5123368).

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

3735440 is a wasteful number, since it uses less digits than its factorization.

3735440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 3735440 is about 1932.7286410668. The cubic root of 3735440 is about 155.1602920345.

The spelling of 3735440 in words is "three million, seven hundred thirty-five thousand, four hundred forty".