34341212400 has 120 divisors (see below), whose sum is σ = 120006973824. Its totient is φ = 8325139200.

The previous prime is 34341212383. The next prime is 34341212413. The reversal of 34341212400 is 421214343.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287604 + ... + 1314003.

Almost surely, 2^34341212400 is an apocalyptic number.

34341212400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34341212400 is an abundant number, since it is smaller than the sum of its proper divisors (85665761424).

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

34341212400 is a wasteful number, since it uses less digits than its factorization.

34341212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601639 (or 2601628 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34341212400 its reverse (421214343), we get a palindrome (34762426743).

The spelling of 34341212400 in words is "thirty-four billion, three hundred forty-one million, two hundred twelve thousand, four hundred".