3834578571264 has 1053 divisors, whose sum is σ = 13603038946731. Its totient is φ = 1037693583360.

The previous prime is 3834578571259. The next prime is 3834578571289. The reversal of 3834578571264 is 4621758754383.

It is a happy number.

The square root of 3834578571264 is 1958208.

It is a perfect power (a square), and thus also a powerful number.

3834578571264 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 57 + 8 + 571 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (135475200) is a multiple of the sum of its prime divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 81586778089 + ... + 81586778135.

Almost surely, 2^{3834578571264} is an apocalyptic number.

3834578571264 is the 1958208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3834578571264

3834578571264 is an abundant number, since it is smaller than the sum of its proper divisors (9768460375467).

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

3834578571264 is an equidigital number, since it uses as much as digits as its factorization.

3834578571264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 90 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 3834578571264 in words is "three trillion, eight hundred thirty-four billion, five hundred seventy-eight million, five hundred seventy-one thousand, two hundred sixty-four".