3687631536 has 80 divisors (see below), whose sum is σ = 9995138048. Its totient is φ = 1170028800.

The previous prime is 3687631523. The next prime is 3687631537. The reversal of 3687631536 is 6351367863.

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 (3687631537) 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, 70455 + ... + 111081.

Almost surely, 2^3687631536 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 3687631536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997569024).

3687631536 is an abundant number, since it is smaller than the sum of its proper divisors (6307506512).

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

3687631536 is a wasteful number, since it uses less digits than its factorization.

3687631536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40730 (or 40724 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 3687631536 is about 60725.8720480818. The cubic root of 3687631536 is about 1544.9550209463.

The spelling of 3687631536 in words is "three billion, six hundred eighty-seven million, six hundred thirty-one thousand, five hundred thirty-six".