34611445152 has 240 divisors, whose sum is σ = 107413558560. Its totient is φ = 10902947328.

The previous prime is 34611445151. The next prime is 34611445157. The reversal of 34611445152 is 25154411643.

34611445152 is a `hidden beast` number, since 3 + 4 + 61 + 1 + 445 + 152 = 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 (34611445151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31665918 + ... + 31667010.

It is an arithmetic number, because the mean of its divisors is an integer number (447556494).

Almost surely, 2^34611445152 is an apocalyptic number.

34611445152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34611445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53706779280).

34611445152 is an abundant number, since it is smaller than the sum of its proper divisors (72802113408).

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

34611445152 is a wasteful number, since it uses less digits than its factorization.

34611445152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1760 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 34611445152 its reverse (25154411643), we get a palindrome (59765856795).

The spelling of 34611445152 in words is "thirty-four billion, six hundred eleven million, four hundred forty-five thousand, one hundred fifty-two".