34214011240200 has 96 divisors (see below), whose sum is σ = 115705565307360. Its totient is φ = 8294305753600.

The previous prime is 34214011240081. The next prime is 34214011240273. The reversal of 34214011240200 is 204211041243.

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

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, 2591963949 + ... + 2591977148.

It is an arithmetic number, because the mean of its divisors is an integer number (1205266305285).

Almost surely, 2^{34214011240200} is an apocalyptic number.

34214011240200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34214011240200 is an abundant number, since it is smaller than the sum of its proper divisors (81491554067160).

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

34214011240200 is a wasteful number, since it uses less digits than its factorization.

34214011240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183941127 (or 5183941118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34214011240200 its reverse (204211041243), we get a palindrome (34418222281443).

The spelling of 34214011240200 in words is "thirty-four trillion, two hundred fourteen billion, eleven million, two hundred forty thousand, two hundred".