3789240 has 128 divisors (see below), whose sum is σ = 14031360. Its totient is φ = 797184.

The previous prime is 3789239. The next prime is 3789241. The reversal of 3789240 is 429873.

It is an interprime number because it is at equal distance from previous prime (3789239) and next prime (3789241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3789241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10747 + ... + 11093.

It is an arithmetic number, because the mean of its divisors is an integer number (109620).

Almost surely, 2^3789240 is an apocalyptic number.

3789240 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 3789240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015680).

3789240 is an abundant number, since it is smaller than the sum of its proper divisors (10242120).

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

3789240 is a wasteful number, since it uses less digits than its factorization.

3789240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3789240 is about 1946.5970307180. The cubic root of 3789240 is about 155.9016474068.

The spelling of 3789240 in words is "three million, seven hundred eighty-nine thousand, two hundred forty".