3782038240 has 48 divisors (see below), whose sum is σ = 8963371872. Its totient is φ = 1508022784.

The previous prime is 3782038231. The next prime is 3782038241. The reversal of 3782038240 is 428302873.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3782038240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782038241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13437 + ... + 88003.

It is an arithmetic number, because the mean of its divisors is an integer number (186736914).

Almost surely, 2^3782038240 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 3782038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481685936).

3782038240 is an abundant number, since it is smaller than the sum of its proper divisors (5181333632).

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

3782038240 is a wasteful number, since it uses less digits than its factorization.

3782038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74899 (or 74891 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 3782038240 is about 61498.2783498855. The cubic root of 3782038240 is about 1558.0281683191.

The spelling of 3782038240 in words is "three billion, seven hundred eighty-two million, thirty-eight thousand, two hundred forty".