34496345304624 has 160 divisors (see below), whose sum is σ = 108498335662080. Its totient is φ = 9224858209536.

The previous prime is 34496345304601. The next prime is 34496345304649. The reversal of 34496345304624 is 42640354369443.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32021712 + ... + 33081455.

It is an arithmetic number, because the mean of its divisors is an integer number (678114597888).

Almost surely, 2^{34496345304624} is an apocalyptic number.

It is an amenable number.

34496345304624 is an abundant number, since it is smaller than the sum of its proper divisors (74001990357456).

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

34496345304624 is a wasteful number, since it uses less digits than its factorization.

34496345304624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65103287 (or 65103281 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 57.

The spelling of 34496345304624 in words is "thirty-four trillion, four hundred ninety-six billion, three hundred forty-five million, three hundred four thousand, six hundred twenty-four".