34010342400 has 132 divisors (see below), whose sum is σ = 112406206832. Its totient is φ = 9069404160.

The previous prime is 34010342321. The next prime is 34010342411. The reversal of 34010342400 is 424301043.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144622 + ... + 298221.

Almost surely, 2^34010342400 is an apocalyptic number.

34010342400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34010342400 is an abundant number, since it is smaller than the sum of its proper divisors (78395864432).

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

34010342400 is a wasteful number, since it uses less digits than its factorization.

34010342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442876 (or 442853 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34010342400 its reverse (424301043), we get a palindrome (34434643443).

The spelling of 34010342400 in words is "thirty-four billion, ten million, three hundred forty-two thousand, four hundred".