3727116991296 has 140 divisors (see below), whose sum is σ = 11049519090148. Its totient is φ = 1242240012288.

The previous prime is 3727116991277. The next prime is 3727116991313. The reversal of 3727116991296 is 6921996117273.

3727116991296 is a `hidden beast` number, since 37 + 2 + 71 + 169 + 91 + 296 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3249857085696 + 477259905600 = 1802736^2 + 690840^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56768280 + ... + 56833896.

Almost surely, 2^{3727116991296} is an apocalyptic number.

3727116991296 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 3727116991296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524759545074).

3727116991296 is an abundant number, since it is smaller than the sum of its proper divisors (7322402098852).

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

3727116991296 is a wasteful number, since it uses less digits than its factorization.

3727116991296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76598 (or 76579 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 63.

The spelling of 3727116991296 in words is "three trillion, seven hundred twenty-seven billion, one hundred sixteen million, nine hundred ninety-one thousand, two hundred ninety-six".