3682689192 has 512 divisors, whose sum is σ = 13586227200. Its totient is φ = 896790528.

The previous prime is 3682689187. The next prime is 3682689211. The reversal of 3682689192 is 2919862863.

3682689192 is a `hidden beast` number, since 368 + 268 + 9 + 19 + 2 = 666.

It is a super-2 number, since 2×3682689192² = 27124399369747225728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 34417603 + ... + 34417709.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 2^3682689192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682689192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793113600).

3682689192 is an abundant number, since it is smaller than the sum of its proper divisors (9903538008).

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

3682689192 is a wasteful number, since it uses less digits than its factorization.

3682689192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 3682689192 is about 60685.1645132482. The cubic root of 3682689192 is about 1544.2645042925.

The spelling of 3682689192 in words is "three billion, six hundred eighty-two million, six hundred eighty-nine thousand, one hundred ninety-two".