42037632 has 192 divisors, whose sum is σ = 149254560. Its totient is φ = 11059200.

The previous prime is 42037621. The next prime is 42037673. The reversal of 42037632 is 23673024.

42037632 is a `hidden beast` number, since 4 + 20 + 3 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 42037596 and 42037605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104632 + ... + 105032.

Almost surely, 2^42037632 is an apocalyptic number.

42037632 is a gapful number since it is divisible by the number (42) 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 42037632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74627280).

42037632 is an abundant number, since it is smaller than the sum of its proper divisors (107216928).

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

42037632 is a wasteful number, since it uses less digits than its factorization.

42037632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 42037632 is about 6483.6434201767. The cubic root of 42037632 is about 347.7064508264.

The spelling of 42037632 in words is "forty-two million, thirty-seven thousand, six hundred thirty-two".