3712018752 has 420 divisors, whose sum is σ = 12598481280. Its totient is φ = 1077193728.

The previous prime is 3712018703. The next prime is 3712018759. The reversal of 3712018752 is 2578102173.

3712018752 is a `hidden beast` number, since 371 + 201 + 87 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712018759) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 16645713 + ... + 16645935.

It is an arithmetic number, because the mean of its divisors is an integer number (29996384).

Almost surely, 2^3712018752 is an apocalyptic number.

3712018752 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 3712018752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299240640).

3712018752 is an abundant number, since it is smaller than the sum of its proper divisors (8886462528).

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

3712018752 is a wasteful number, since it uses less digits than its factorization.

3712018752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 3712018752 is about 60926.3387378562. The cubic root of 3712018752 is about 1548.3532635269.

The spelling of 3712018752 in words is "three billion, seven hundred twelve million, eighteen thousand, seven hundred fifty-two".