34314253000 has 192 divisors, whose sum is σ = 83458674000. Its totient is φ = 13203968000.

The previous prime is 34314252937. The next prime is 34314253003. The reversal of 34314253000 is 35241343.

It can be written as a sum of positive squares in 24 ways, for example, as 32575196196 + 1739056804 = 180486^2 + 41702^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34314253003) 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, 230296926 + ... + 230297074.

Almost surely, 2^34314253000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41729337000).

34314253000 is an abundant number, since it is smaller than the sum of its proper divisors (49144421000).

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

34314253000 is a wasteful number, since it uses less digits than its factorization.

34314253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 34314253000 its reverse (35241343), we get a palindrome (34349494343).

The spelling of 34314253000 in words is "thirty-four billion, three hundred fourteen million, two hundred fifty-three thousand".