3742440 has 64 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 920832.

The previous prime is 3742391. The next prime is 3742451. The reversal of 3742440 is 442473.

3742440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3742440.

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 15 ways as a sum of consecutive naturals, for example, 361 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^3742440 is an apocalyptic number.

3742440 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 3742440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3742440 is an abundant number, since it is smaller than the sum of its proper divisors (8353560).

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

3742440 is a wasteful number, since it uses less digits than its factorization.

3742440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 3742440 is about 1934.5387047046. The cubic root of 3742440 is about 155.2571520480.

The spelling of 3742440 in words is "three million, seven hundred forty-two thousand, four hundred forty".