38749811424 has 96 divisors (see below), whose sum is σ = 108812452896. Its totient is φ = 12031426560.

The previous prime is 38749811423. The next prime is 38749811447. The reversal of 38749811424 is 42411894783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38749811423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35914 + ... + 280694.

It is an arithmetic number, because the mean of its divisors is an integer number (1133463051).

Almost surely, 2^38749811424 is an apocalyptic number.

38749811424 is a gapful number since it is divisible by the number (34) 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 38749811424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54406226448).

38749811424 is an abundant number, since it is smaller than the sum of its proper divisors (70062641472).

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

38749811424 is a wasteful number, since it uses less digits than its factorization.

38749811424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244908 (or 244900 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The spelling of 38749811424 in words is "thirty-eight billion, seven hundred forty-nine million, eight hundred eleven thousand, four hundred twenty-four".