42634944 has 112 divisors (see below), whose sum is σ = 136794240. Its totient is φ = 12913920.

The previous prime is 42634919. The next prime is 42634961. The reversal of 42634944 is 44943624.

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 junction number, because it is equal to n+sod(n) for n = 42634899 and 42634908.

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, 17887 + ... + 20129.

Almost surely, 2^42634944 is an apocalyptic number.

42634944 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 42634944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68397120).

42634944 is an abundant number, since it is smaller than the sum of its proper divisors (94159296).

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

42634944 is a wasteful number, since it uses less digits than its factorization.

42634944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2259 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 42634944 is about 6529.5439350693. The cubic root of 42634944 is about 349.3455634796.

The spelling of 42634944 in words is "forty-two million, six hundred thirty-four thousand, nine hundred forty-four".