3663455040 has 560 divisors, whose sum is σ = 15183087744. Its totient is φ = 821145600.

The previous prime is 3663455009. The next prime is 3663455053. The reversal of 3663455040 is 405543663.

3663455040 is a `hidden beast` number, since 3 + 6 + 63 + 4 + 550 + 40 = 666.

3663455040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 3663454986 and 3663455004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11067675 + ... + 11068005.

Almost surely, 2^3663455040 is an apocalyptic number.

3663455040 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 3663455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591543872).

3663455040 is an abundant number, since it is smaller than the sum of its proper divisors (11519632704).

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

3663455040 is a wasteful number, since it uses less digits than its factorization.

3663455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3663455040 is about 60526.4821379865. The cubic root of 3663455040 is about 1541.5713202229.

The spelling of 3663455040 in words is "three billion, six hundred sixty-three million, four hundred fifty-five thousand, forty".