2437438347342 has 64 divisors (see below), whose sum is σ = 5500867833600. Its totient is φ = 799844142240.

The previous prime is 2437438347341. The next prime is 2437438347397.

2437438347342 is a `hidden beast` number, since 24 + 3 + 74 + 3 + 83 + 473 + 4 + 2 = 666.

2437438347342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2437438347342² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2437438347341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5499492 + ... + 5926152.

It is an arithmetic number, because the mean of its divisors is an integer number (85951059900).

Almost surely, 2^{2437438347342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2437438347342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750433916800).

2437438347342 is an abundant number, since it is smaller than the sum of its proper divisors (3063429486258).

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

2437438347342 is a wasteful number, since it uses less digits than its factorization.

2437438347342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428318 (or 428312 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 54.

The spelling of 2437438347342 in words is "two trillion, four hundred thirty-seven billion, four hundred thirty-eight million, three hundred forty-seven thousand, three hundred forty-two".