34402312000434 has 32 divisors (see below), whose sum is σ = 81170432004096. Its totient is φ = 9512159999760.

The previous prime is 34402312000429. The next prime is 34402312000439. The reversal of 34402312000434 is 43400021320443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34402312000429) and next prime (34402312000439).

It is not an unprimeable number, because it can be changed into a prime (34402312000439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13211332032 + ... + 13211334635.

It is an arithmetic number, because the mean of its divisors is an integer number (2536576000128).

Almost surely, 2^{34402312000434} is an apocalyptic number.

34402312000434 is an abundant number, since it is smaller than the sum of its proper divisors (46768120003662).

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

34402312000434 is a wasteful number, since it uses less digits than its factorization.

34402312000434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26422666710.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34402312000434 its reverse (43400021320443), we get a palindrome (77802333320877).

The spelling of 34402312000434 in words is "thirty-four trillion, four hundred two billion, three hundred twelve million, four hundred thirty-four", and thus it is an aban number.