3663414240 has 192 divisors, whose sum is σ = 12323114496. Its totient is φ = 912586752.

The previous prime is 3663414233. The next prime is 3663414281. The reversal of 3663414240 is 424143663.

3663414240 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470862 + ... + 478578.

It is an arithmetic number, because the mean of its divisors is an integer number (64182888).

Almost surely, 2^3663414240 is an apocalyptic number.

3663414240 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 3663414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161557248).

3663414240 is an abundant number, since it is smaller than the sum of its proper divisors (8659700256).

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

3663414240 is a wasteful number, since it uses less digits than its factorization.

3663414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7801 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3663414240 is about 60526.1450944961. The cubic root of 3663414240 is about 1541.5655973609.

The spelling of 3663414240 in words is "three billion, six hundred sixty-three million, four hundred fourteen thousand, two hundred forty".