38613834 has 80 divisors (see below), whose sum is σ = 104753088. Its totient is φ = 10378368.

The previous prime is 38613823. The next prime is 38613859. The reversal of 38613834 is 43831683.

It is a happy number.

38613834 is a `hidden beast` number, since 3 + 8 + 613 + 8 + 34 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18277 + ... + 20279.

Almost surely, 2^38613834 is an apocalyptic number.

38613834 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 38613834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52376544).

38613834 is an abundant number, since it is smaller than the sum of its proper divisors (66139254).

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

38613834 is a wasteful number, since it uses less digits than its factorization.

38613834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2032 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38613834 is about 6214.0030576111. The cubic root of 38613834 is about 337.9981384770.

The spelling of 38613834 in words is "thirty-eight million, six hundred thirteen thousand, eight hundred thirty-four".