3751965216 has 144 divisors (see below), whose sum is σ = 11114288640. Its totient is φ = 1199278080.

The previous prime is 3751965199. The next prime is 3751965221. The reversal of 3751965216 is 6125691573.

3751965216 is a `hidden beast` number, since 37 + 5 + 1 + 96 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1007005 + ... + 1010723.

It is an arithmetic number, because the mean of its divisors is an integer number (77182560).

Almost surely, 2^3751965216 is an apocalyptic number.

3751965216 is a gapful number since it is divisible by the number (36) 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 3751965216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557144320).

3751965216 is an abundant number, since it is smaller than the sum of its proper divisors (7362323424).

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

3751965216 is a wasteful number, since it uses less digits than its factorization.

3751965216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3868 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 3751965216 is about 61253.2873893312. The cubic root of 3751965216 is about 1553.8876003835.

The spelling of 3751965216 in words is "three billion, seven hundred fifty-one million, nine hundred sixty-five thousand, two hundred sixteen".