38407824 has 160 divisors (see below), whose sum is σ = 135824640. Its totient is φ = 10119168.

The previous prime is 38407823. The next prime is 38407841. The reversal of 38407824 is 42870483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38407823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38824 + ... + 39800.

It is an arithmetic number, because the mean of its divisors is an integer number (848904).

Almost surely, 2^38407824 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 38407824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67912320).

38407824 is an abundant number, since it is smaller than the sum of its proper divisors (97416816).

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

38407824 is a wasteful number, since it uses less digits than its factorization.

38407824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38407824 is about 6197.4046180639. The cubic root of 38407824 is about 337.3959778188.

It can be divided in two parts, 3840 and 7824, that added together give a square (11664 = 108²).

The spelling of 38407824 in words is "thirty-eight million, four hundred seven thousand, eight hundred twenty-four".