3739840 has 112 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 1290240.

The previous prime is 3739831. The next prime is 3739843. The reversal of 3739840 is 489373.

It is a junction number, because it is equal to n+sod(n) for n = 3739796 and 3739805.

It is not an unprimeable number, because it can be changed into a prime (3739843) 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 15 ways as a sum of consecutive naturals, for example, 120625 + ... + 120655.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 2^3739840 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 3739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

3739840 is an abundant number, since it is smaller than the sum of its proper divisors (6501440).

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

3739840 is a wasteful number, since it uses less digits than its factorization.

3739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 3739840 is about 1933.8665931237. The cubic root of 3739840 is about 155.2211895821.

The spelling of 3739840 in words is "three million, seven hundred thirty-nine thousand, eight hundred forty".