3427503164064 has 192 divisors, whose sum is σ = 11466261676800. Its totient is φ = 975750810624.

The previous prime is 3427503164039. The next prime is 3427503164069. The reversal of 3427503164064 is 4604613057243.

3427503164064 is a `hidden beast` number, since 3 + 4 + 27 + 503 + 1 + 64 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (3427503164069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652342 + ... + 2698250.

It is an arithmetic number, because the mean of its divisors is an integer number (59720112900).

Almost surely, 2^{3427503164064} 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 3427503164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733130838400).

3427503164064 is an abundant number, since it is smaller than the sum of its proper divisors (8038758512736).

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

3427503164064 is a wasteful number, since it uses less digits than its factorization.

3427503164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046212 (or 2046198 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3427503164064 in words is "three trillion, four hundred twenty-seven billion, five hundred three million, one hundred sixty-four thousand, sixty-four".