3765200985 has 96 divisors (see below), whose sum is σ = 8116093440. Its totient is φ = 1572286464.

The previous prime is 3765200977. The next prime is 3765201001. The reversal of 3765200985 is 5890025673.

It is a happy number.

3765200985 is a `hidden beast` number, since 37 + 6 + 520 + 0 + 98 + 5 = 666.

It is not a de Polignac number, because 3765200985 - 2³ = 3765200977 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3765200985.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392476 + ... + 401954.

It is an arithmetic number, because the mean of its divisors is an integer number (84542640).

Almost surely, 2^3765200985 is an apocalyptic number.

3765200985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3765200985 is an abundant number, since it is smaller than the sum of its proper divisors (4350892455).

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

3765200985 is a wasteful number, since it uses less digits than its factorization.

3765200985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9607 (or 9604 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3765200985 is about 61361.2335681088. The cubic root of 3765200985 is about 1555.7126670611.

The spelling of 3765200985 in words is "three billion, seven hundred sixty-five million, two hundred thousand, nine hundred eighty-five".