3762680985 has 64 divisors (see below), whose sum is σ = 7669839360. Its totient is φ = 1714452480.

The previous prime is 3762680959. The next prime is 3762680989. The reversal of 3762680985 is 5890862673.

It is a happy number.

3762680985 is a `hidden beast` number, since 3 + 7 + 626 + 8 + 0 + 9 + 8 + 5 = 666.

It is not a de Polignac number, because 3762680985 - 2⁵ = 3762680953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3762680989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289425 + ... + 302145.

It is an arithmetic number, because the mean of its divisors is an integer number (119841240).

Almost surely, 2^3762680985 is an apocalyptic number.

3762680985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3762680985 is an abundant number, since it is smaller than the sum of its proper divisors (3907158375).

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

3762680985 is a wasteful number, since it uses less digits than its factorization.

3762680985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13055 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3762680985 is about 61340.6959937691. The cubic root of 3762680985 is about 1555.3655168571.

The spelling of 3762680985 in words is "three billion, seven hundred sixty-two million, six hundred eighty thousand, nine hundred eighty-five".