42758352 has 180 divisors, whose sum is σ = 148677984. Its totient is φ = 11232000.

The previous prime is 42758351. The next prime is 42758399. The reversal of 42758352 is 25385724.

42758352 is a `hidden beast` number, since 4 + 27 + 583 + 52 = 666.

It is a super-3 number, since 3×42758352³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42758351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170227 + ... + 170477.

Almost surely, 2^42758352 is an apocalyptic number.

42758352 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 42758352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74338992).

42758352 is an abundant number, since it is smaller than the sum of its proper divisors (105919632).

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

42758352 is a wasteful number, since it uses less digits than its factorization.

42758352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 42758352 is about 6538.9870775220. The cubic root of 42758352 is about 349.6823021866.

The spelling of 42758352 in words is "forty-two million, seven hundred fifty-eight thousand, three hundred fifty-two".