34206240000 has 180 divisors, whose sum is σ = 113763284096. Its totient is φ = 9121536000.

The previous prime is 34206239989. The next prime is 34206240011. The reversal of 34206240000 is 4260243.

It is an interprime number because it is at equal distance from previous prime (34206239989) and next prime (34206240011).

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 19 ways as a sum of consecutive naturals, for example, 444369 + ... + 515631.

Almost surely, 2^34206240000 is an apocalyptic number.

34206240000 is a gapful number since it is divisible by the number (30) 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 34206240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56881642048).

34206240000 is an abundant number, since it is smaller than the sum of its proper divisors (79557044096).

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

34206240000 is an frugal number, since it uses more digits than its factorization.

34206240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71302 (or 71273 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The spelling of 34206240000 in words is "thirty-four billion, two hundred six million, two hundred forty thousand".