42349824 has 144 divisors (see below), whose sum is σ = 136866240. Its totient is φ = 12810240.

The previous prime is 42349817. The next prime is 42349859. The reversal of 42349824 is 42894324.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

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, 75754 + ... + 76310.

It is an arithmetic number, because the mean of its divisors is an integer number (950460).

Almost surely, 2^42349824 is an apocalyptic number.

42349824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68433120).

42349824 is an abundant number, since it is smaller than the sum of its proper divisors (94516416).

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

42349824 is a wasteful number, since it uses less digits than its factorization.

42349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 573 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42349824 is about 6507.6742389275. The cubic root of 42349824 is about 348.5650748128.

It can be divided in two parts, 42 and 349824, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 42349824 in words is "forty-two million, three hundred forty-nine thousand, eight hundred twenty-four".