34506762480 has 80 divisors (see below), whose sum is σ = 118856633760. Its totient is φ = 9201802752.

The previous prime is 34506762431. The next prime is 34506762497. The reversal of 34506762480 is 8426760543.

34506762480 is a `hidden beast` number, since 3 + 4 + 50 + 67 + 62 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×34506762480³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7985517 + ... + 7989836.

It is an arithmetic number, because the mean of its divisors is an integer number (1485707922).

Almost surely, 2^34506762480 is an apocalyptic number.

34506762480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34506762480 is an abundant number, since it is smaller than the sum of its proper divisors (84349871280).

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

34506762480 is a wasteful number, since it uses less digits than its factorization.

34506762480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15975375 (or 15975363 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34506762480 in words is "thirty-four billion, five hundred six million, seven hundred sixty-two thousand, four hundred eighty".