3661064172 has 216 divisors, whose sum is σ = 10529444016. Its totient is φ = 1068484608.

The previous prime is 3661064137. The next prime is 3661064207. The reversal of 3661064172 is 2714601663.

It is a happy number.

3661064172 is a `hidden beast` number, since 3 + 6 + 6 + 1 + 0 + 641 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3661064137) and next prime (3661064207).

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, 16127923 + ... + 16128149.

It is an arithmetic number, because the mean of its divisors is an integer number (48747426).

Almost surely, 2^3661064172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661064172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264722008).

3661064172 is an abundant number, since it is smaller than the sum of its proper divisors (6868379844).

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

3661064172 is a wasteful number, since it uses less digits than its factorization.

3661064172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3661064172 is about 60506.7283200802. The cubic root of 3661064172 is about 1541.2358904548.

The spelling of 3661064172 in words is "three billion, six hundred sixty-one million, sixty-four thousand, one hundred seventy-two".