3237116064 has 384 divisors, whose sum is σ = 11266117632. Its totient is φ = 789626880.

The previous prime is 3237116059. The next prime is 3237116083. The reversal of 3237116064 is 4606117323.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10544199 + ... + 10544505.

It is an arithmetic number, because the mean of its divisors is an integer number (29338848).

Almost surely, 2^3237116064 is an apocalyptic number.

3237116064 is a gapful number since it is divisible by the number (34) 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 3237116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633058816).

3237116064 is an abundant number, since it is smaller than the sum of its proper divisors (8029001568).

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

3237116064 is a wasteful number, since it uses less digits than its factorization.

3237116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3237116064 is about 56895.6594477997. The cubic root of 3237116064 is about 1479.2880773707.

The spelling of 3237116064 in words is "three billion, two hundred thirty-seven million, one hundred sixteen thousand, sixty-four".