3782894040 has 192 divisors, whose sum is σ = 12987786240. Its totient is φ = 953406720.

The previous prime is 3782894033. The next prime is 3782894047. The reversal of 3782894040 is 404982873.

3782894040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3782894033) and next prime (3782894047).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782894047) 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, 475939 + ... + 483821.

It is an arithmetic number, because the mean of its divisors is an integer number (67644720).

Almost surely, 2^3782894040 is an apocalyptic number.

3782894040 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 3782894040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493893120).

3782894040 is an abundant number, since it is smaller than the sum of its proper divisors (9204892200).

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

3782894040 is a wasteful number, since it uses less digits than its factorization.

3782894040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7974 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3782894040 is about 61505.2358746798. The cubic root of 3782894040 is about 1558.1456763808.

The spelling of 3782894040 in words is "three billion, seven hundred eighty-two million, eight hundred ninety-four thousand, forty".