34365331000 has 384 divisors, whose sum is σ = 108822430080. Its totient is φ = 9884160000.

The previous prime is 34365330997. The next prime is 34365331043. The reversal of 34365331000 is 13356343.

It is a super-2 number, since 2×34365331000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34365331000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11009440 + ... + 11012560.

It is an arithmetic number, because the mean of its divisors is an integer number (283391745).

Almost surely, 2^34365331000 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 34365331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54411215040).

34365331000 is an abundant number, since it is smaller than the sum of its proper divisors (74457099080).

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

34365331000 is a wasteful number, since it uses less digits than its factorization.

34365331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 34365331000 its reverse (13356343), we get a palindrome (34378687343).

The spelling of 34365331000 in words is "thirty-four billion, three hundred sixty-five million, three hundred thirty-one thousand".