34389084885120 has 2304 divisors, whose sum is σ = 150681968236800. Its totient is φ = 7461974016000.

The previous prime is 34389084885107. The next prime is 34389084885137. The reversal of 34389084885120 is 2158848098343.

34389084885120 is a `hidden beast` number, since 3 + 4 + 3 + 89 + 0 + 8 + 488 + 51 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13480627845 + ... + 13480630395.

It is an arithmetic number, because the mean of its divisors is an integer number (65400159825).

Almost surely, 2^{34389084885120} is an apocalyptic number.

34389084885120 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 34389084885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75340984118400).

34389084885120 is an abundant number, since it is smaller than the sum of its proper divisors (116292883351680).

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

34389084885120 is a wasteful number, since it uses less digits than its factorization.

34389084885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 34389084885120 in words is "thirty-four trillion, three hundred eighty-nine billion, eighty-four million, eight hundred eighty-five thousand, one hundred twenty".