3893506614144 has 768 divisors, whose sum is σ = 14207011329600. Its totient is φ = 1043050659840.

The previous prime is 3893506614133. The next prime is 3893506614227. The reversal of 3893506614144 is 4414166053983.

It is a happy number.

3893506614144 is a `hidden beast` number, since 3 + 8 + 9 + 3 + 5 + 0 + 6 + 614 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808953882 + ... + 808958694.

Almost surely, 2^{3893506614144} is an apocalyptic number.

3893506614144 is a gapful number since it is divisible by the number (34) 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 3893506614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103505664800).

3893506614144 is an abundant number, since it is smaller than the sum of its proper divisors (10313504715456).

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

3893506614144 is a wasteful number, since it uses less digits than its factorization.

3893506614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3893506614144 in words is "three trillion, eight hundred ninety-three billion, five hundred six million, six hundred fourteen thousand, one hundred forty-four".