34258878720 has 1728 divisors, whose sum is σ = 154279157760. Its totient is φ = 7166361600.

The previous prime is 34258878671. The next prime is 34258878727. The reversal of 34258878720 is 2787885243.

34258878720 is a `hidden beast` number, since 3 + 425 + 88 + 78 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34258878727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1105125105 + ... + 1105125135.

It is an arithmetic number, because the mean of its divisors is an integer number (89281920).

Almost surely, 2^34258878720 is an apocalyptic number.

34258878720 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 34258878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77139578880).

34258878720 is an abundant number, since it is smaller than the sum of its proper divisors (120020279040).

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

34258878720 is a wasteful number, since it uses less digits than its factorization.

34258878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 34258878720 in words is "thirty-four billion, two hundred fifty-eight million, eight hundred seventy-eight thousand, seven hundred twenty".