3663878416704 has 672 divisors, whose sum is σ = 11978240102400. Its totient is φ = 1060979834880.

The previous prime is 3663878416699. The next prime is 3663878416789. The reversal of 3663878416704 is 4076148783663.

3663878416704 is a `hidden beast` number, since 366 + 38 + 7 + 84 + 167 + 0 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3245241612 + ... + 3245242740.

Almost surely, 2^{3663878416704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663878416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989120051200).

3663878416704 is an abundant number, since it is smaller than the sum of its proper divisors (8314361685696).

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

3663878416704 is a wasteful number, since it uses less digits than its factorization.

3663878416704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 3663878416704 in words is "three trillion, six hundred sixty-three billion, eight hundred seventy-eight million, four hundred sixteen thousand, seven hundred four".