3798767001888 has 384 divisors, whose sum is σ = 11924572826880. Its totient is φ = 1186928640000.

The previous prime is 3798767001877. The next prime is 3798767001901. The reversal of 3798767001888 is 8881007678973.

3798767001888 is a `hidden beast` number, since 379 + 8 + 7 + 6 + 70 + 0 + 188 + 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 63 ways as a sum of consecutive naturals, for example, 298615368 + ... + 298628088.

It is an arithmetic number, because the mean of its divisors is an integer number (31053575070).

Almost surely, 2^{3798767001888} 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 3798767001888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962286413440).

3798767001888 is an abundant number, since it is smaller than the sum of its proper divisors (8125805824992).

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

3798767001888 is a wasteful number, since it uses less digits than its factorization.

3798767001888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13020 (or 12994 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 3798767001888 in words is "three trillion, seven hundred ninety-eight billion, seven hundred sixty-seven million, one thousand, eight hundred eighty-eight".