38437842711000 has 128 divisors (see below), whose sum is σ = 119983662489600. Its totient is φ = 10245168892800.

The previous prime is 38437842710951. The next prime is 38437842711001. The reversal of 38437842711000 is 11724873483.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38437842711001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3173481 + ... + 9324519.

It is an arithmetic number, because the mean of its divisors is an integer number (937372363200).

Almost surely, 2^{38437842711000} is an apocalyptic number.

38437842711000 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 38437842711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59991831244800).

38437842711000 is an abundant number, since it is smaller than the sum of its proper divisors (81545819778600).

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

38437842711000 is a wasteful number, since it uses less digits than its factorization.

38437842711000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153146 (or 6153132 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 38437842711000 in words is "thirty-eight trillion, four hundred thirty-seven billion, eight hundred forty-two million, seven hundred eleven thousand".