34605435424 has 144 divisors (see below), whose sum is σ = 81389756448. Its totient is φ = 14433527808.

The previous prime is 34605435409. The next prime is 34605435437. The reversal of 34605435424 is 42453450643.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22721127 + ... + 22722649.

It is an arithmetic number, because the mean of its divisors is an integer number (565206642).

Almost surely, 2^34605435424 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 34605435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40694878224).

34605435424 is an abundant number, since it is smaller than the sum of its proper divisors (46784321024).

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

34605435424 is a wasteful number, since it uses less digits than its factorization.

34605435424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 34605435424 in words is "thirty-four billion, six hundred five million, four hundred thirty-five thousand, four hundred twenty-four".