34164638884480 has 256 divisors, whose sum is σ = 88502600622240. Its totient is φ = 12536523325440.

The previous prime is 34164638884469. The next prime is 34164638884547. The reversal of 34164638884480 is 8448883646143.

It can be written as a sum of positive squares in 16 ways, for example, as 61001096256 + 34103637788224 = 246984^2 + 5839832^2 .

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6121595290 + ... + 6121600870.

Almost surely, 2^{34164638884480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34164638884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44251300311120).

34164638884480 is an abundant number, since it is smaller than the sum of its proper divisors (54337961737760).

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

34164638884480 is a wasteful number, since it uses less digits than its factorization.

34164638884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039 (or 10027 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 67.

The spelling of 34164638884480 in words is "thirty-four trillion, one hundred sixty-four billion, six hundred thirty-eight million, eight hundred eighty-four thousand, four hundred eighty".