34321052000 has 192 divisors, whose sum is σ = 88636451904. Its totient is φ = 13044326400.

The previous prime is 34321051937. The next prime is 34321052011. The reversal of 34321052000 is 25012343.

It is a happy number.

It is a super-2 number, since 2×34321052000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6361304 + ... + 6366696.

It is an arithmetic number, because the mean of its divisors is an integer number (461648187).

Almost surely, 2^34321052000 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 34321052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44318225952).

34321052000 is an abundant number, since it is smaller than the sum of its proper divisors (54315399904).

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

34321052000 is a wasteful number, since it uses less digits than its factorization.

34321052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 34321052000 its reverse (25012343), we get a palindrome (34346064343).

The spelling of 34321052000 in words is "thirty-four billion, three hundred twenty-one million, fifty-two thousand".