3782845440 has 528 divisors, whose sum is σ = 15174656640. Its totient is φ = 861143040.

The previous prime is 3782845439. The next prime is 3782845441. The reversal of 3782845440 is 445482873.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3782845439) and next prime (3782845441).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3782845441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8616741 + ... + 8617179.

It is an arithmetic number, because the mean of its divisors is an integer number (28739880).

Almost surely, 2^3782845440 is an apocalyptic number.

3782845440 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 3782845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587328320).

3782845440 is an abundant number, since it is smaller than the sum of its proper divisors (11391811200).

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

3782845440 is a wasteful number, since it uses less digits than its factorization.

3782845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 3782845440 is about 61504.8407850959. The cubic root of 3782845440 is about 1558.1390036937.

The spelling of 3782845440 in words is "three billion, seven hundred eighty-two million, eight hundred forty-five thousand, four hundred forty".