3862649894400 has 720 divisors, whose sum is σ = 15584034589200. Its totient is φ = 936389836800.

The previous prime is 3862649894377. The next prime is 3862649894413. The reversal of 3862649894400 is 44989462683.

3862649894400 is a `hidden beast` number, since 3 + 86 + 2 + 64 + 9 + 8 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41771416 + ... + 41863784.

It is an arithmetic number, because the mean of its divisors is an integer number (21644492485).

Almost surely, 2^{3862649894400} is an apocalyptic number.

3862649894400 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 3862649894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7792017294600).

3862649894400 is an abundant number, since it is smaller than the sum of its proper divisors (11721384694800).

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

3862649894400 is a wasteful number, since it uses less digits than its factorization.

3862649894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92428 (or 92390 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3862649894400 in words is "three trillion, eight hundred sixty-two billion, six hundred forty-nine million, eight hundred ninety-four thousand, four hundred".