3685834752 has 112 divisors (see below), whose sum is σ = 10040550912. Its totient is φ = 1202094080.

The previous prime is 3685834723. The next prime is 3685834811. The reversal of 3685834752 is 2574385863.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3685834695 and 3685834704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1153477 + ... + 1156667.

It is an arithmetic number, because the mean of its divisors is an integer number (89647776).

Almost surely, 2^3685834752 is an apocalyptic number.

3685834752 is a gapful number since it is divisible by the number (32) 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 3685834752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020275456).

3685834752 is an abundant number, since it is smaller than the sum of its proper divisors (6354716160).

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

3685834752 is an equidigital number, since it uses as much as digits as its factorization.

3685834752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3243 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 51.

The square root of 3685834752 is about 60711.0760240666. The cubic root of 3685834752 is about 1544.7040557568.

The spelling of 3685834752 in words is "three billion, six hundred eighty-five million, eight hundred thirty-four thousand, seven hundred fifty-two".