3899193458688 has 1344 divisors, whose sum is σ = 13718530677600. Its totient is φ = 1103619686400.

The previous prime is 3899193458653. The next prime is 3899193458689. The reversal of 3899193458688 is 8868543919983.

3899193458688 is a `hidden beast` number, since 3 + 8 + 99 + 19 + 3 + 458 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (3224862720) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3899193458689) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 54918217693 + ... + 54918217763.

Almost surely, 2^{3899193458688} is an apocalyptic number.

3899193458688 is a gapful number since it is divisible by the number (38) 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 3899193458688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859265338800).

3899193458688 is an abundant number, since it is smaller than the sum of its proper divisors (9819337218912).

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

3899193458688 is an frugal number, since it uses more digits than its factorization.

3899193458688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 106 counting only the distinct ones).

The product of its digits is 3224862720, while the sum is 81.

The spelling of 3899193458688 in words is "three trillion, eight hundred ninety-nine billion, one hundred ninety-three million, four hundred fifty-eight thousand, six hundred eighty-eight".