3640896 has 168 divisors, whose sum is σ = 12740640. Its totient is φ = 1016064.

The previous prime is 3640891. The next prime is 3640909. The reversal of 3640896 is 6980463.

3640896 is a `hidden beast` number, since 3 + 640 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3640896² = 26512247365632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3640896.

It is not an unprimeable number, because it can be changed into a prime (3640891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84651 + ... + 84693.

Almost surely, 2^3640896 is an apocalyptic number.

3640896 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 3640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370320).

3640896 is an abundant number, since it is smaller than the sum of its proper divisors (9099744).

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

3640896 is a wasteful number, since it uses less digits than its factorization.

3640896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3640896 is about 1908.1132041889. The cubic root of 3640896 is about 153.8400543223.

The spelling of 3640896 in words is "three million, six hundred forty thousand, eight hundred ninety-six".