34546995504 has 160 divisors (see below), whose sum is σ = 114145472000. Its totient is φ = 9799439616.

The previous prime is 34546995493. The next prime is 34546995547. The reversal of 34546995504 is 40559964543.

34546995504 is a `hidden beast` number, since 3 + 4 + 5 + 46 + 9 + 95 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 379242 + ... + 461430.

It is an arithmetic number, because the mean of its divisors is an integer number (713409200).

Almost surely, 2^34546995504 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 34546995504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57072736000).

34546995504 is an abundant number, since it is smaller than the sum of its proper divisors (79598476496).

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

34546995504 is a wasteful number, since it uses less digits than its factorization.

34546995504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82352 (or 82340 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 34546995504 in words is "thirty-four billion, five hundred forty-six million, nine hundred ninety-five thousand, five hundred four".