3691064160 has 768 divisors, whose sum is σ = 15676416000. Its totient is φ = 810141696.

The previous prime is 3691064147. The next prime is 3691064161. The reversal of 3691064160 is 614601963.

3691064160 is a `hidden beast` number, since 3 + 6 + 9 + 1 + 0 + 641 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3691064161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69642694 + ... + 69642746.

It is an arithmetic number, because the mean of its divisors is an integer number (20412000).

Almost surely, 2^3691064160 is an apocalyptic number.

3691064160 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 3691064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208000).

3691064160 is an abundant number, since it is smaller than the sum of its proper divisors (11985351840).

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

3691064160 is a wasteful number, since it uses less digits than its factorization.

3691064160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3691064160 is about 60754.1287485879. The cubic root of 3691064160 is about 1545.4342449845.

The spelling of 3691064160 in words is "three billion, six hundred ninety-one million, sixty-four thousand, one hundred sixty".