38513874 has 96 divisors (see below), whose sum is σ = 99025920. Its totient is φ = 9752832.

The previous prime is 38513837. The next prime is 38513897. The reversal of 38513874 is 47831583.

38513874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×38513874³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230539 + ... + 230705.

It is an arithmetic number, because the mean of its divisors is an integer number (1031520).

Almost surely, 2^38513874 is an apocalyptic number.

38513874 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38513874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49512960).

38513874 is an abundant number, since it is smaller than the sum of its proper divisors (60512046).

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

38513874 is a wasteful number, since it uses less digits than its factorization.

38513874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 38513874 is about 6205.9547210723. The cubic root of 38513874 is about 337.7062267731.

The spelling of 38513874 in words is "thirty-eight million, five hundred thirteen thousand, eight hundred seventy-four".