34001414480 has 40 divisors (see below), whose sum is σ = 86239953504. Its totient is φ = 12364150400.

The previous prime is 34001414479. The next prime is 34001414521. The reversal of 34001414480 is 8441410043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 19318106 + ... + 19319865.

Almost surely, 2^34001414480 is an apocalyptic number.

It is an amenable number.

34001414480 is an abundant number, since it is smaller than the sum of its proper divisors (52238539024).

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

34001414480 is a wasteful number, since it uses less digits than its factorization.

34001414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38637995 (or 38637989 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The spelling of 34001414480 in words is "thirty-four billion, one million, four hundred fourteen thousand, four hundred eighty".