3578852160 has 840 divisors, whose sum is σ = 14848210080. Its totient is φ = 815173632.

The previous prime is 3578852159. The next prime is 3578852191. The reversal of 3578852160 is 612588753.

3578852160 is a `hidden beast` number, since 357 + 8 + 85 + 216 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 83229099 + ... + 83229141.

Almost surely, 2^3578852160 is an apocalyptic number.

3578852160 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 3578852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424105040).

3578852160 is an abundant number, since it is smaller than the sum of its proper divisors (11269357920).

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

3578852160 is a wasteful number, since it uses less digits than its factorization.

3578852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 3578852160 is about 59823.5084226928. The cubic root of 3578852160 is about 1529.6118969477.

The spelling of 3578852160 in words is "three billion, five hundred seventy-eight million, eight hundred fifty-two thousand, one hundred sixty".