42338879352 has 192 divisors, whose sum is σ = 143096578560. Its totient is φ = 10986796800.

The previous prime is 42338879351. The next prime is 42338879413. The reversal of 42338879352 is 25397883324.

42338879352 is a `hidden beast` number, since 423 + 3 + 8 + 87 + 93 + 52 = 666.

42338879352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42338879351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7220902 + ... + 7226762.

It is an arithmetic number, because the mean of its divisors is an integer number (745294680).

Almost surely, 2^42338879352 is an apocalyptic number.

42338879352 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 42338879352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71548289280).

42338879352 is an abundant number, since it is smaller than the sum of its proper divisors (100757699208).

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

42338879352 is a wasteful number, since it uses less digits than its factorization.

42338879352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7194 (or 7187 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 42338879352 in words is "forty-two billion, three hundred thirty-eight million, eight hundred seventy-nine thousand, three hundred fifty-two".