34281259200399 has 64 divisors (see below), whose sum is σ = 51128652072960. Its totient is φ = 20303996958720.

The previous prime is 34281259200379. The next prime is 34281259200403. The reversal of 34281259200399 is 99300295218243.

It is a happy number.

It is a Cunningham number, because it is equal to 5855020²-1.

It is not a de Polignac number, because 34281259200399 - 2⁵ = 34281259200367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34281259200379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1891162074 + ... + 1891180200.

It is an arithmetic number, because the mean of its divisors is an integer number (798885188640).

Almost surely, 2^{34281259200399} is an apocalyptic number.

34281259200399 is a deficient number, since it is larger than the sum of its proper divisors (16847392872561).

34281259200399 is a wasteful number, since it uses less digits than its factorization.

34281259200399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25120.

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 34281259200399 in words is "thirty-four trillion, two hundred eighty-one billion, two hundred fifty-nine million, two hundred thousand, three hundred ninety-nine".