3691942272 has 192 divisors, whose sum is σ = 11137551360. Its totient is φ = 1172413440.

The previous prime is 3691942259. The next prime is 3691942297. The reversal of 3691942272 is 2722491963.

3691942272 is a `hidden beast` number, since 369 + 19 + 4 + 2 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 2391933 + ... + 2393475.

It is an arithmetic number, because the mean of its divisors is an integer number (58008080).

Almost surely, 2^3691942272 is an apocalyptic number.

3691942272 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 3691942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568775680).

3691942272 is an abundant number, since it is smaller than the sum of its proper divisors (7445609088).

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

3691942272 is a wasteful number, since it uses less digits than its factorization.

3691942272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1646 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3691942272 is about 60761.3550869300. The cubic root of 3691942272 is about 1545.5567892964.

The spelling of 3691942272 in words is "three billion, six hundred ninety-one million, nine hundred forty-two thousand, two hundred seventy-two".