3688132014 has 224 divisors, whose sum is σ = 10397315520. Its totient is φ = 956261376.

The previous prime is 3688131983. The next prime is 3688132037. The reversal of 3688132014 is 4102318863.

It is a self number, because there is not a number n which added to its sum of digits gives 3688132014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5031192 + ... + 5031924.

Almost surely, 2^3688132014 is an apocalyptic number.

3688132014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688132014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198657760).

3688132014 is an abundant number, since it is smaller than the sum of its proper divisors (6709183506).

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

3688132014 is a wasteful number, since it uses less digits than its factorization.

3688132014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3688132014 is about 60729.9927054170. The cubic root of 3688132014 is about 1545.0249105230.

The spelling of 3688132014 in words is "three billion, six hundred eighty-eight million, one hundred thirty-two thousand, fourteen".