3683381952 has 112 divisors (see below), whose sum is σ = 10389209600. Its totient is φ = 1148359680.

The previous prime is 3683381939. The next prime is 3683381953. The reversal of 3683381952 is 2591833863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3683381953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281802 + ... + 294582.

It is an arithmetic number, because the mean of its divisors is an integer number (92760800).

Almost surely, 2^3683381952 is an apocalyptic number.

3683381952 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 3683381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194604800).

3683381952 is an abundant number, since it is smaller than the sum of its proper divisors (6705827648).

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

3683381952 is a wasteful number, since it uses less digits than its factorization.

3683381952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12894 (or 12884 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 3683381952 is about 60690.8720649160. The cubic root of 3683381952 is about 1544.3613300583.

The spelling of 3683381952 in words is "three billion, six hundred eighty-three million, three hundred eighty-one thousand, nine hundred fifty-two".