3888037698048 has 960 divisors, whose sum is σ = 13607009095680. Its totient is φ = 1085488791552.

The previous prime is 3888037697989. The next prime is 3888037698073. The reversal of 3888037698048 is 8408967308883.

3888037698048 is a `hidden beast` number, since 388 + 80 + 37 + 69 + 80 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 7983650061 + ... + 7983650547.

It is an arithmetic number, because the mean of its divisors is an integer number (14173967808).

Almost surely, 2^{3888037698048} 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 3888037698048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803504547840).

3888037698048 is an abundant number, since it is smaller than the sum of its proper divisors (9718971397632).

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

3888037698048 is an equidigital number, since it uses as much as digits as its factorization.

3888037698048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 3888037698048 in words is "three trillion, eight hundred eighty-eight billion, thirty-seven million, six hundred ninety-eight thousand, forty-eight".