34600340992 has 240 divisors, whose sum is σ = 87931122048. Its totient is φ = 13501071360.

The previous prime is 34600340923. The next prime is 34600341029. The reversal of 34600340992 is 29904300643.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13220068 + ... + 13222684.

Almost surely, 2^34600340992 is an apocalyptic number.

34600340992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34600340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43965561024).

34600340992 is an abundant number, since it is smaller than the sum of its proper divisors (53330781056).

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

34600340992 is a wasteful number, since it uses less digits than its factorization.

34600340992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 34600340992 in words is "thirty-four billion, six hundred million, three hundred forty thousand, nine hundred ninety-two".