3898842151680 has 864 divisors, whose sum is σ = 16117764009984. Its totient is φ = 850786320384.

The previous prime is 3898842151679. The next prime is 3898842151681. The reversal of 3898842151680 is 861512488983.

3898842151680 is a `hidden beast` number, since 3 + 8 + 9 + 88 + 421 + 51 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3898842151679) and next prime (3898842151681).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3898842151681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1144360537 + ... + 1144363943.

It is an arithmetic number, because the mean of its divisors is an integer number (18654819456).

Almost surely, 2^{3898842151680} is an apocalyptic number.

3898842151680 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 3898842151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058882004992).

3898842151680 is an abundant number, since it is smaller than the sum of its proper divisors (12218921858304).

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

3898842151680 is a wasteful number, since it uses less digits than its factorization.

3898842151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 3898842151680 in words is "three trillion, eight hundred ninety-eight billion, eight hundred forty-two million, one hundred fifty-one thousand, six hundred eighty".