3670008160 has 384 divisors, whose sum is σ = 11314888704. Its totient is φ = 1093754880.

The previous prime is 3670008131. The next prime is 3670008169. The reversal of 3670008160 is 618000763.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3670008169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21213834 + ... + 21214006.

It is an arithmetic number, because the mean of its divisors is an integer number (29465856).

Almost surely, 2^3670008160 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 3670008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657444352).

3670008160 is an abundant number, since it is smaller than the sum of its proper divisors (7644880544).

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

3670008160 is a wasteful number, since it uses less digits than its factorization.

3670008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3670008160 is about 60580.5922717829. The cubic root of 3670008160 is about 1542.4899506992.

The spelling of 3670008160 in words is "three billion, six hundred seventy million, eight thousand, one hundred sixty".