34464106350 has 144 divisors (see below), whose sum is σ = 95175671760. Its totient is φ = 8937561600.

The previous prime is 34464106337. The next prime is 34464106387. The reversal of 34464106350 is 5360146443.

34464106350 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 4 + 10 + 635 + 0 = 666.

It is a super-2 number, since 2×34464106350² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2435997 + ... + 2450103.

It is an arithmetic number, because the mean of its divisors is an integer number (660942165).

Almost surely, 2^34464106350 is an apocalyptic number.

34464106350 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 34464106350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47587835880).

34464106350 is an abundant number, since it is smaller than the sum of its proper divisors (60711565410).

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

34464106350 is a wasteful number, since it uses less digits than its factorization.

34464106350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14275 (or 14267 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34464106350 in words is "thirty-four billion, four hundred sixty-four million, one hundred six thousand, three hundred fifty".