34355100549504 has 1024 divisors, whose sum is σ = 116128795852800. Its totient is φ = 8778792960000.

The previous prime is 34355100549403. The next prime is 34355100549533. The reversal of 34355100549504 is 40594500155343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12265296904 + ... + 12265299704.

It is an arithmetic number, because the mean of its divisors is an integer number (113407027200).

Almost surely, 2^{34355100549504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34355100549504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58064397926400).

34355100549504 is an abundant number, since it is smaller than the sum of its proper divisors (81773695303296).

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

34355100549504 is a wasteful number, since it uses less digits than its factorization.

34355100549504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 34355100549504 in words is "thirty-four trillion, three hundred fifty-five billion, one hundred million, five hundred forty-nine thousand, five hundred four".