3709440 has 240 divisors, whose sum is σ = 15320448. Its totient is φ = 811008.

The previous prime is 3709423. The next prime is 3709441. The reversal of 3709440 is 449073.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3709440² = 27519890227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3709441) 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 23 ways as a sum of consecutive naturals, for example, 161269 + ... + 161291.

Almost surely, 2^3709440 is an apocalyptic number.

3709440 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 3709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224).

3709440 is an abundant number, since it is smaller than the sum of its proper divisors (11611008).

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

3709440 is a wasteful number, since it uses less digits than its factorization.

3709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

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

The square root of 3709440 is about 1925.9906541829. The cubic root of 3709440 is about 154.7994631714.

The spelling of 3709440 in words is "three million, seven hundred nine thousand, four hundred forty".