3731116032 has 312 divisors, whose sum is σ = 12982407360. Its totient is φ = 1008599040.

The previous prime is 3731115967. The next prime is 3731116069. The reversal of 3731116032 is 2306111373.

It is a junction number, because it is equal to n+sod(n) for n = 3731115987 and 3731116005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4902532 + ... + 4903292.

It is an arithmetic number, because the mean of its divisors is an integer number (41610280).

Almost surely, 2^3731116032 is an apocalyptic number.

3731116032 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 3731116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491203680).

3731116032 is an abundant number, since it is smaller than the sum of its proper divisors (9251291328).

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

3731116032 is a wasteful number, since it uses less digits than its factorization.

3731116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3731116032 is about 61082.8620154622. The cubic root of 3731116032 is about 1551.0040019002.

The spelling of 3731116032 in words is "three billion, seven hundred thirty-one million, one hundred sixteen thousand, thirty-two".