34249431450 has 96 divisors (see below), whose sum is σ = 92140727616. Its totient is φ = 8369026560.

The previous prime is 34249431443. The next prime is 34249431457. The reversal of 34249431450 is 5413494243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34249431443) and next prime (34249431457).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 34249431399 and 34249431408.

It is not an unprimeable number, because it can be changed into a prime (34249431457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203049 + ... + 331251.

It is an arithmetic number, because the mean of its divisors is an integer number (959799246).

Almost surely, 2^34249431450 is an apocalyptic number.

34249431450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34249431450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46070363808).

34249431450 is an abundant number, since it is smaller than the sum of its proper divisors (57891296166).

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

34249431450 is a wasteful number, since it uses less digits than its factorization.

34249431450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128368 (or 128363 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 34249431450 in words is "thirty-four billion, two hundred forty-nine million, four hundred thirty-one thousand, four hundred fifty".