3646218240 has 560 divisors, whose sum is σ = 15034089312. Its totient is φ = 828112896.

The previous prime is 3646218229. The next prime is 3646218269. The reversal of 3646218240 is 428126463.

3646218240 is a `hidden beast` number, since 3 + 6 + 4 + 621 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 3646218195 and 3646218204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23224242 + ... + 23224398.

Almost surely, 2^3646218240 is an apocalyptic number.

3646218240 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 3646218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517044656).

3646218240 is an abundant number, since it is smaller than the sum of its proper divisors (11387871072).

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

3646218240 is an equidigital number, since it uses as much as digits as its factorization.

3646218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3646218240 is about 60383.9236883461. The cubic root of 3646218240 is about 1539.1497864996.

The spelling of 3646218240 in words is "three billion, six hundred forty-six million, two hundred eighteen thousand, two hundred forty".