34042343400 has 144 divisors (see below), whose sum is σ = 123119893260. Its totient is φ = 8379648000.

The previous prime is 34042343399. The next prime is 34042343431. The reversal of 34042343400 is 434324043.

It can be written as a sum of positive squares in 6 ways, for example, as 4498921476 + 29543421924 = 67074^2 + 171882^2 .

It is a super-2 number, since 2×34042343400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 704001 + ... + 750800.

Almost surely, 2^34042343400 is an apocalyptic number.

34042343400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34042343400 is an abundant number, since it is smaller than the sum of its proper divisors (89077549860).

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

34042343400 is a wasteful number, since it uses less digits than its factorization.

34042343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454836 (or 1454824 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34042343400 its reverse (434324043), we get a palindrome (34476667443).

The spelling of 34042343400 in words is "thirty-four billion, forty-two million, three hundred forty-three thousand, four hundred".