34611140550 has 192 divisors, whose sum is σ = 99038661120. Its totient is φ = 7835719680.

The previous prime is 34611140513. The next prime is 34611140561. The reversal of 34611140550 is 5504111643.

It is a happy number.

34611140550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 79933134 + ... + 79933566.

It is an arithmetic number, because the mean of its divisors is an integer number (515826360).

Almost surely, 2^34611140550 is an apocalyptic number.

34611140550 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 34611140550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49519330560).

34611140550 is an abundant number, since it is smaller than the sum of its proper divisors (64427520570).

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

34611140550 is a wasteful number, since it uses less digits than its factorization.

34611140550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 34611140550 in words is "thirty-four billion, six hundred eleven million, one hundred forty thousand, five hundred fifty".