34661350152 has 192 divisors, whose sum is σ = 115081948800. Its totient is φ = 9273876480.

The previous prime is 34661350151. The next prime is 34661350169. The reversal of 34661350152 is 25105316643.

34661350152 is a `hidden beast` number, since 3 + 46 + 61 + 3 + 501 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34661350151) 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, 163624 + ... + 309992.

It is an arithmetic number, because the mean of its divisors is an integer number (599385150).

Almost surely, 2^34661350152 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 34661350152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57540974400).

34661350152 is an abundant number, since it is smaller than the sum of its proper divisors (80420598648).

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

34661350152 is a wasteful number, since it uses less digits than its factorization.

34661350152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146428 (or 146421 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 34661350152 its reverse (25105316643), we get a palindrome (59766666795).

The spelling of 34661350152 in words is "thirty-four billion, six hundred sixty-one million, three hundred fifty thousand, one hundred fifty-two".