3765865500 has 384 divisors, whose sum is σ = 13161657600. Its totient is φ = 926208000.

The previous prime is 3765865487. The next prime is 3765865549. The reversal of 3765865500 is 55685673.

3765865500 is a `hidden beast` number, since 3 + 7 + 65 + 86 + 5 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13999366 + ... + 13999634.

It is an arithmetic number, because the mean of its divisors is an integer number (34275150).

Almost surely, 2^3765865500 is an apocalyptic number.

3765865500 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 3765865500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580828800).

3765865500 is an abundant number, since it is smaller than the sum of its proper divisors (9395792100).

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

3765865500 is a wasteful number, since it uses less digits than its factorization.

3765865500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 3765865500 is about 61366.6481079096. The cubic root of 3765865500 is about 1555.8041835206.

The spelling of 3765865500 in words is "three billion, seven hundred sixty-five million, eight hundred sixty-five thousand, five hundred".