38424810 has 64 divisors (see below), whose sum is σ = 96583680. Its totient is φ = 9771840.

The previous prime is 38424809. The next prime is 38424817. The reversal of 38424810 is 1842483.

It is a super-2 number, since 2×38424810² = 2952932047072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38424817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73209 + ... + 73731.

It is an arithmetic number, because the mean of its divisors is an integer number (1509120).

Almost surely, 2^38424810 is an apocalyptic number.

38424810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38424810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48291840).

38424810 is an abundant number, since it is smaller than the sum of its proper divisors (58158870).

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

38424810 is a wasteful number, since it uses less digits than its factorization.

38424810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643.

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 38424810 is about 6198.7748789579. The cubic root of 38424810 is about 337.4457086881.

The spelling of 38424810 in words is "thirty-eight million, four hundred twenty-four thousand, eight hundred ten".