3735086634 has 64 divisors (see below), whose sum is σ = 8622754560. Its totient is φ = 1197504000.

The previous prime is 3735086629. The next prime is 3735086647. The reversal of 3735086634 is 4366805373.

3735086634 is a `hidden beast` number, since 3 + 7 + 3 + 5 + 0 + 8 + 6 + 634 = 666.

3735086634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3735086634.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145314 + ... + 169074.

It is an arithmetic number, because the mean of its divisors is an integer number (134730540).

Almost surely, 2^3735086634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735086634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311377280).

3735086634 is an abundant number, since it is smaller than the sum of its proper divisors (4887667926).

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

3735086634 is a wasteful number, since it uses less digits than its factorization.

3735086634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23884 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3735086634 is about 61115.3551409136. The cubic root of 3735086634 is about 1551.5539925073.

The spelling of 3735086634 in words is "three billion, seven hundred thirty-five million, eighty-six thousand, six hundred thirty-four".