3781614144 has 224 divisors, whose sum is σ = 12552883200. Its totient is φ = 976066560.

The previous prime is 3781614127. The next prime is 3781614149. The reversal of 3781614144 is 4414161873.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3781614149) 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, 2645622 + ... + 2647050.

Almost surely, 2^3781614144 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 3781614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276441600).

3781614144 is an abundant number, since it is smaller than the sum of its proper divisors (8771269056).

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

3781614144 is a wasteful number, since it uses less digits than its factorization.

3781614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1631 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 3781614144 is about 61494.8302217349. The cubic root of 3781614144 is about 1557.9699300385.

The spelling of 3781614144 in words is "three billion, seven hundred eighty-one million, six hundred fourteen thousand, one hundred forty-four".