3663541440 has 448 divisors, whose sum is σ = 14073225600. Its totient is φ = 897122304.

The previous prime is 3663541439. The next prime is 3663541459. The reversal of 3663541440 is 441453663.

3663541440 is a `hidden beast` number, since 3 + 6 + 635 + 4 + 14 + 4 + 0 = 666.

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 = 3663541395 and 3663541404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18981984 + ... + 18982176.

It is an arithmetic number, because the mean of its divisors is an integer number (31413450).

Almost surely, 2^3663541440 is an apocalyptic number.

3663541440 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 3663541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036612800).

3663541440 is an abundant number, since it is smaller than the sum of its proper divisors (10409684160).

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

3663541440 is a wasteful number, since it uses less digits than its factorization.

3663541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3663541440 is about 60527.1958709471. The cubic root of 3663541440 is about 1541.5834390846.

The spelling of 3663541440 in words is "three billion, six hundred sixty-three million, five hundred forty-one thousand, four hundred forty".