34491617460 has 36 divisors (see below), whose sum is σ = 104624573508. Its totient is φ = 9197764608.

The previous prime is 34491617431. The next prime is 34491617473. The reversal of 34491617460 is 6471619443.

34491617460 is a `hidden beast` number, since 3 + 44 + 91 + 61 + 7 + 460 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6555169296 + 27936448164 = 80964^2 + 167142^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95809869 + ... + 95810228.

It is an arithmetic number, because the mean of its divisors is an integer number (2906238153).

Almost surely, 2^34491617460 is an apocalyptic number.

34491617460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34491617460 is an abundant number, since it is smaller than the sum of its proper divisors (70132956048).

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

34491617460 is a wasteful number, since it uses less digits than its factorization.

34491617460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191620112 (or 191620107 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34491617460 in words is "thirty-four billion, four hundred ninety-one million, six hundred seventeen thousand, four hundred sixty".