34501480800 has 72 divisors (see below), whose sum is σ = 112302327816. Its totient is φ = 9200394240.

The previous prime is 34501480789. The next prime is 34501480801. The reversal of 34501480800 is 808410543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34501480801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7185409 + ... + 7190208.

It is an arithmetic number, because the mean of its divisors is an integer number (1559754553).

Almost surely, 2^34501480800 is an apocalyptic number.

34501480800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34501480800 is an abundant number, since it is smaller than the sum of its proper divisors (77800847016).

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

34501480800 is a wasteful number, since it uses less digits than its factorization.

34501480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14375640 (or 14375627 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 34501480800 in words is "thirty-four billion, five hundred one million, four hundred eighty thousand, eight hundred".