3641897856 has 192 divisors, whose sum is σ = 10209628800. Its totient is φ = 1149926400.

The previous prime is 3641897843. The next prime is 3641897891. The reversal of 3641897856 is 6587981463.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 3641897796 and 3641897805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26200635 + ... + 26200773.

It is an arithmetic number, because the mean of its divisors is an integer number (53175150).

Almost surely, 2^3641897856 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 3641897856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104814400).

3641897856 is an abundant number, since it is smaller than the sum of its proper divisors (6567730944).

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

3641897856 is a wasteful number, since it uses less digits than its factorization.

3641897856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 246 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The square root of 3641897856 is about 60348.1387948295. The cubic root of 3641897856 is about 1538.5416361908.

The spelling of 3641897856 in words is "three billion, six hundred forty-one million, eight hundred ninety-seven thousand, eight hundred fifty-six".