34586048412 has 180 divisors, whose sum is σ = 96381309024. Its totient is φ = 10812718080.

The previous prime is 34586048377. The next prime is 34586048443. The reversal of 34586048412 is 21484068543.

34586048412 is a `hidden beast` number, since 34 + 5 + 8 + 604 + 8 + 4 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40356688 + ... + 40357544.

Almost surely, 2^34586048412 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 34586048412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48190654512).

34586048412 is an abundant number, since it is smaller than the sum of its proper divisors (61795260612).

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

34586048412 is a wasteful number, since it uses less digits than its factorization.

34586048412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 34586048412 in words is "thirty-four billion, five hundred eighty-six million, forty-eight thousand, four hundred twelve".