34212444480 has 252 divisors, whose sum is σ = 118688402196. Its totient is φ = 9045504000.

The previous prime is 34212444467. The next prime is 34212444493. The reversal of 34212444480 is 8444421243.

It is an interprime number because it is at equal distance from previous prime (34212444467) and next prime (34212444493).

It can be written as a sum of positive squares in 2 ways, for example, as 11045169216 + 23167275264 = 105096^2 + 152208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 65666620 + ... + 65667140.

It is an arithmetic number, because the mean of its divisors is an integer number (470985723).

Almost surely, 2^34212444480 is an apocalyptic number.

34212444480 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 34212444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59344201098).

34212444480 is an abundant number, since it is smaller than the sum of its proper divisors (84475957716).

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

34212444480 is a wasteful number, since it uses less digits than its factorization.

34212444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 34212444480 in words is "thirty-four billion, two hundred twelve million, four hundred forty-four thousand, four hundred eighty".