3801765888 has 192 divisors, whose sum is σ = 11351340000. Its totient is φ = 1257209856.

The previous prime is 3801765881. The next prime is 3801765893. The reversal of 3801765888 is 8885671083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801765881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10893138 + ... + 10893486.

Almost surely, 2^3801765888 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 3801765888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675670000).

3801765888 is an abundant number, since it is smaller than the sum of its proper divisors (7549574112).

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

3801765888 is a wasteful number, since it uses less digits than its factorization.

3801765888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 3801765888 is about 61658.4616090930. The cubic root of 3801765888 is about 1560.7324371240.

The spelling of 3801765888 in words is "three billion, eight hundred one million, seven hundred sixty-five thousand, eight hundred eighty-eight".