34024342444000 has 48 divisors (see below), whose sum is σ = 83597809394736. Its totient is φ = 13609736976000.

The previous prime is 34024342443997. The next prime is 34024342444019. The reversal of 34024342444000 is 44424342043.

It is a super-3 number, since 3×34024342444000³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4253038806 + ... + 4253046805.

It is an arithmetic number, because the mean of its divisors is an integer number (1741621029057).

Almost surely, 2^{34024342444000} is an apocalyptic number.

It is an amenable number.

34024342444000 is an abundant number, since it is smaller than the sum of its proper divisors (49573466950736).

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

34024342444000 is an equidigital number, since it uses as much as digits as its factorization.

34024342444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506085636 (or 8506085618 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 34024342444000 its reverse (44424342043), we get a palindrome (34068766786043).

The spelling of 34024342444000 in words is "thirty-four trillion, twenty-four billion, three hundred forty-two million, four hundred forty-four thousand".