34278213120 has 320 divisors, whose sum is σ = 117272136960. Its totient is φ = 8515584000.

The previous prime is 34278213097. The next prime is 34278213157. The reversal of 34278213120 is 2131287243.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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, 8899195 + ... + 8903045.

It is an arithmetic number, because the mean of its divisors is an integer number (366475428).

Almost surely, 2^34278213120 is an apocalyptic number.

34278213120 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 34278213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58636068480).

34278213120 is an abundant number, since it is smaller than the sum of its proper divisors (82993923840).

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

34278213120 is a wasteful number, since it uses less digits than its factorization.

34278213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 34278213120 in words is "thirty-four billion, two hundred seventy-eight million, two hundred thirteen thousand, one hundred twenty".