3688307832 has 128 divisors (see below), whose sum is σ = 10428088320. Its totient is φ = 1076976000.

The previous prime is 3688307827. The next prime is 3688307837. The reversal of 3688307832 is 2387038863.

It is an interprime number because it is at equal distance from previous prime (3688307827) and next prime (3688307837).

It is a super-2 number, since 2×3688307832² = 27207229327185080448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688307837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2217033 + ... + 2218695.

It is an arithmetic number, because the mean of its divisors is an integer number (81469440).

Almost surely, 2^3688307832 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 3688307832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214044160).

3688307832 is an abundant number, since it is smaller than the sum of its proper divisors (6739780488).

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

3688307832 is a wasteful number, since it uses less digits than its factorization.

3688307832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 3688307832 is about 60731.4402266240. The cubic root of 3688307832 is about 1545.0494612416.

The spelling of 3688307832 in words is "three billion, six hundred eighty-eight million, three hundred seven thousand, eight hundred thirty-two".