38111840 has 96 divisors (see below), whose sum is σ = 98685216. Its totient is φ = 13824000.

The previous prime is 38111839. The next prime is 38111869. The reversal of 38111840 is 4811183.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151715 + ... + 151965.

It is an arithmetic number, because the mean of its divisors is an integer number (1027971).

Almost surely, 2^38111840 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 38111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49342608).

38111840 is an abundant number, since it is smaller than the sum of its proper divisors (60573376).

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

38111840 is a wasteful number, since it uses less digits than its factorization.

38111840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 38111840 is about 6173.4787599861. The cubic root of 38111840 is about 336.5270451118.

It can be divided in two parts, 381 and 11840, that added together give a palindrome (12221).

The spelling of 38111840 in words is "thirty-eight million, one hundred eleven thousand, eight hundred forty".