34328990389824 has 896 divisors, whose sum is σ = 117460066913280. Its totient is φ = 9736261337088.

The previous prime is 34328990389789. The next prime is 34328990389907. The reversal of 34328990389824 is 42898309982343.

34328990389824 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 89 + 90 + 389 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14714525362 + ... + 14714527694.

It is an arithmetic number, because the mean of its divisors is an integer number (131093824680).

Almost surely, 2^{34328990389824} is an apocalyptic number.

34328990389824 is a gapful number since it is divisible by the number (34) 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 34328990389824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58730033456640).

34328990389824 is an abundant number, since it is smaller than the sum of its proper divisors (83131076523456).

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

34328990389824 is a wasteful number, since it uses less digits than its factorization.

34328990389824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 34328990389824 in words is "thirty-four trillion, three hundred twenty-eight billion, nine hundred ninety million, three hundred eighty-nine thousand, eight hundred twenty-four".