38881099834500 has 3072 divisors, whose sum is σ = 162599967129600. Its totient is φ = 6972134400000.

The previous prime is 38881099834453. The next prime is 38881099834559. The reversal of 38881099834500 is 543899018883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 147836881369 + ... + 147836881631.

It is an arithmetic number, because the mean of its divisors is an integer number (52929676800).

Almost surely, 2^{38881099834500} is an apocalyptic number.

38881099834500 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 38881099834500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81299983564800).

38881099834500 is an abundant number, since it is smaller than the sum of its proper divisors (123718867295100).

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

38881099834500 is a wasteful number, since it uses less digits than its factorization.

38881099834500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 66.

The spelling of 38881099834500 in words is "thirty-eight trillion, eight hundred eighty-one billion, ninety-nine million, eight hundred thirty-four thousand, five hundred".