34234641540 has 144 divisors (see below), whose sum is σ = 113674107456. Its totient is φ = 8270841600.

The previous prime is 34234641527. The next prime is 34234641577. The reversal of 34234641540 is 4514643243.

34234641540 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 4 + 641 + 5 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34234641495 and 34234641504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550635 + ... + 609645.

It is an arithmetic number, because the mean of its divisors is an integer number (789403524).

Almost surely, 2^34234641540 is an apocalyptic number.

34234641540 is a gapful number since it is divisible by the number (30) 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 34234641540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56837053728).

34234641540 is an abundant number, since it is smaller than the sum of its proper divisors (79439465916).

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

34234641540 is a wasteful number, since it uses less digits than its factorization.

34234641540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59330 (or 59325 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34234641540 in words is "thirty-four billion, two hundred thirty-four million, six hundred forty-one thousand, five hundred forty".