34421219913600 has 384 divisors, whose sum is σ = 135662269663200. Its totient is φ = 8472915394560.

The previous prime is 34421219913599. The next prime is 34421219913611. The reversal of 34421219913600 is 631991212443.

34421219913600 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 1 + 21 + 9 + 9 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14199637 + ... + 16446036.

Almost surely, 2^{34421219913600} is an apocalyptic number.

34421219913600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34421219913600 is an abundant number, since it is smaller than the sum of its proper divisors (101241049749600).

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

34421219913600 is a wasteful number, since it uses less digits than its factorization.

34421219913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30645719 (or 30645696 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 34421219913600 in words is "thirty-four trillion, four hundred twenty-one billion, two hundred nineteen million, nine hundred thirteen thousand, six hundred".