3685292352 has 252 divisors, whose sum is σ = 12623512980. Its totient is φ = 1024192512.

The previous prime is 3685292341. The next prime is 3685292371. The reversal of 3685292352 is 2532925863.

3685292352 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 292 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1806590016 + 1878702336 = 42504^2 + 43344^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 3685292298 and 3685292307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1042524 + ... + 1046052.

Almost surely, 2^3685292352 is an apocalyptic number.

3685292352 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 3685292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311756490).

3685292352 is an abundant number, since it is smaller than the sum of its proper divisors (8938220628).

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

3685292352 is a wasteful number, since it uses less digits than its factorization.

3685292352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3578 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3685292352 is about 60706.6088000310. The cubic root of 3685292352 is about 1544.6282801964.

It can be divided in two parts, 368529 and 2352, that added together give a square (370881 = 609²).

The spelling of 3685292352 in words is "three billion, six hundred eighty-five million, two hundred ninety-two thousand, three hundred fifty-two".