3765099888 has 480 divisors, whose sum is σ = 13299148800. Its totient is φ = 1012746240.

The previous prime is 3765099881. The next prime is 3765099901. The reversal of 3765099888 is 8889905673.

3765099888 is a `hidden beast` number, since 37 + 6 + 509 + 98 + 8 + 8 = 666.

3765099888 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3765099888² = 28351954333235225088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3765099881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16883745 + ... + 16883967.

It is an arithmetic number, because the mean of its divisors is an integer number (27706560).

Almost surely, 2^3765099888 is an apocalyptic number.

3765099888 is a gapful number since it is divisible by the number (38) 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 3765099888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649574400).

3765099888 is an abundant number, since it is smaller than the sum of its proper divisors (9534048912).

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

3765099888 is a wasteful number, since it uses less digits than its factorization.

3765099888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The square root of 3765099888 is about 61360.4097769889. The cubic root of 3765099888 is about 1555.6987431216.

The spelling of 3765099888 in words is "three billion, seven hundred sixty-five million, ninety-nine thousand, eight hundred eighty-eight".