3691078560 has 432 divisors, whose sum is σ = 14124781944. Its totient is φ = 871907328.

The previous prime is 3691078543. The next prime is 3691078603. The reversal of 3691078560 is 658701963.

It is a happy number.

3691078560 is a `hidden beast` number, since 3 + 6 + 9 + 10 + 78 + 560 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 618815376 + 3072263184 = 24876^2 + 55428^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 50562684 + ... + 50562756.

Almost surely, 2^3691078560 is an apocalyptic number.

3691078560 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 3691078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062390972).

3691078560 is an abundant number, since it is smaller than the sum of its proper divisors (10433703384).

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

3691078560 is a wasteful number, since it uses less digits than its factorization.

3691078560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3691078560 is about 60754.2472589366. The cubic root of 3691078560 is about 1545.4362547232.

The spelling of 3691078560 in words is "three billion, six hundred ninety-one million, seventy-eight thousand, five hundred sixty".