38206898240896 has 192 divisors, whose sum is σ = 98056969908480. Its totient is φ = 14405613696000.

The previous prime is 38206898240839. The next prime is 38206898240909. The reversal of 38206898240896 is 69804289860283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7454701 + ... + 11488531.

It is an arithmetic number, because the mean of its divisors is an integer number (510713384940).

Almost surely, 2^{38206898240896} 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 38206898240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49028484954240).

38206898240896 is an abundant number, since it is smaller than the sum of its proper divisors (59850071667584).

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

38206898240896 is a wasteful number, since it uses less digits than its factorization.

38206898240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033925 (or 4033882 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 73.

The spelling of 38206898240896 in words is "thirty-eight trillion, two hundred six billion, eight hundred ninety-eight million, two hundred forty thousand, eight hundred ninety-six".