3671564256 has 288 divisors, whose sum is σ = 12047162400. Its totient is φ = 1052835840.

The previous prime is 3671564207. The next prime is 3671564269. The reversal of 3671564256 is 6524651763.

3671564256 is a `hidden beast` number, since 3 + 67 + 1 + 564 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2697016 + ... + 2698376.

It is an arithmetic number, because the mean of its divisors is an integer number (41830425).

Almost surely, 2^3671564256 is an apocalyptic number.

3671564256 is a gapful number since it is divisible by the number (36) 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 3671564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023581200).

3671564256 is an abundant number, since it is smaller than the sum of its proper divisors (8375598144).

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

3671564256 is a wasteful number, since it uses less digits than its factorization.

3671564256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1431 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 3671564256 is about 60593.4340997438. The cubic root of 3671564256 is about 1542.7079268978.

The spelling of 3671564256 in words is "three billion, six hundred seventy-one million, five hundred sixty-four thousand, two hundred fifty-six".