34830614400 has 96 divisors (see below), whose sum is σ = 114723367800. Its totient is φ = 9288161280.

The previous prime is 34830614393. The next prime is 34830614461. The reversal of 34830614400 is 441603843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1804495 + ... + 1823694.

Almost surely, 2^34830614400 is an apocalyptic number.

34830614400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34830614400 is an abundant number, since it is smaller than the sum of its proper divisors (79892753400).

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

34830614400 is a wasteful number, since it uses less digits than its factorization.

34830614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628216 (or 3628199 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

It can be divided in two parts, 34830 and 614400, that added together give a triangular number (649230 = T₁₁₃₉).

The spelling of 34830614400 in words is "thirty-four billion, eight hundred thirty million, six hundred fourteen thousand, four hundred".