3786884640 has 1152 divisors, whose sum is σ = 17831923200. Its totient is φ = 722534400.

The previous prime is 3786884593. The next prime is 3786884669. The reversal of 3786884640 is 464886873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92363020 + ... + 92363060.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 2^3786884640 is an apocalyptic number.

3786884640 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 3786884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915961600).

3786884640 is an abundant number, since it is smaller than the sum of its proper divisors (14045038560).

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

3786884640 is a wasteful number, since it uses less digits than its factorization.

3786884640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 3786884640 is about 61537.6684641204. The cubic root of 3786884640 is about 1558.6933832338.

The spelling of 3786884640 in words is "three billion, seven hundred eighty-six million, eight hundred eighty-four thousand, six hundred forty".