3711951360 has 720 divisors, whose sum is σ = 15221822616. Its totient is φ = 859963392.

The previous prime is 3711951349. The next prime is 3711951409. The reversal of 3711951360 is 631591173.

3711951360 is a `hidden beast` number, since 3 + 71 + 19 + 513 + 60 = 666.

3711951360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2823434496 + 888516864 = 53136^2 + 29808^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218350072 + ... + 218350088.

Almost surely, 2^3711951360 is an apocalyptic number.

3711951360 is a gapful number since it is divisible by the number (30) 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 3711951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610911308).

3711951360 is an abundant number, since it is smaller than the sum of its proper divisors (11509871256).

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

3711951360 is an frugal number, since it uses more digits than its factorization.

3711951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 3711951360 is about 60925.7856740477. The cubic root of 3711951360 is about 1548.3438933107.

The spelling of 3711951360 in words is "three billion, seven hundred eleven million, nine hundred fifty-one thousand, three hundred sixty".