3898881145296 has 240 divisors, whose sum is σ = 11349898560000. Its totient is φ = 1247911031808.

The previous prime is 3898881145279. The next prime is 3898881145301. The reversal of 3898881145296 is 6925411888983.

3898881145296 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 8 + 81 + 1 + 452 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418289330 + ... + 1418292078.

It is an arithmetic number, because the mean of its divisors is an integer number (47291244000).

Almost surely, 2^{3898881145296} is an apocalyptic number.

3898881145296 is a gapful number since it is divisible by the number (36) 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 3898881145296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674949280000).

3898881145296 is an abundant number, since it is smaller than the sum of its proper divisors (7451017414704).

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

3898881145296 is a wasteful number, since it uses less digits than its factorization.

3898881145296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4529 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 72.

The spelling of 3898881145296 in words is "three trillion, eight hundred ninety-eight billion, eight hundred eighty-one million, one hundred forty-five thousand, two hundred ninety-six".