3682888992 has 144 divisors (see below), whose sum is σ = 10895381280. Its totient is φ = 1210315392.

The previous prime is 3682888987. The next prime is 3682888999. The reversal of 3682888992 is 2998882863.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3682888999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5391883 + ... + 5392565.

It is an arithmetic number, because the mean of its divisors is an integer number (75662370).

Almost surely, 2^3682888992 is an apocalyptic number.

3682888992 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 3682888992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447690640).

3682888992 is an abundant number, since it is smaller than the sum of its proper divisors (7212492288).

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

3682888992 is an equidigital number, since it uses as much as digits as its factorization.

3682888992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 767 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 3682888992 is about 60686.8106922748. The cubic root of 3682888992 is about 1544.2924312097.

The spelling of 3682888992 in words is "three billion, six hundred eighty-two million, eight hundred eighty-eight thousand, nine hundred ninety-two".