3765263616 has 108 divisors (see below), whose sum is σ = 11258450112. Its totient is φ = 1255067136.

The previous prime is 3765263609. The next prime is 3765263617. The reversal of 3765263616 is 6163625673.

3765263616 is a `hidden beast` number, since 3 + 7 + 6 + 5 + 2 + 636 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3765263617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31945 + ... + 92471.

Almost surely, 2^3765263616 is an apocalyptic number.

3765263616 is a gapful number since it is divisible by the number (36) 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 3765263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629225056).

3765263616 is an abundant number, since it is smaller than the sum of its proper divisors (7493186496).

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

3765263616 is an frugal number, since it uses more digits than its factorization.

3765263616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60558 (or 60532 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3765263616 is about 61361.7439126366. The cubic root of 3765263616 is about 1555.7212930105.

The spelling of 3765263616 in words is "three billion, seven hundred sixty-five million, two hundred sixty-three thousand, six hundred sixteen".