3427070588928 has 576 divisors, whose sum is σ = 12031934503680. Its totient is φ = 917372141568.

The previous prime is 3427070588881. The next prime is 3427070588933. The reversal of 3427070588928 is 8298850707243.

3427070588928 is a `hidden beast` number, since 3 + 4 + 27 + 0 + 7 + 0 + 588 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 497900175 + ... + 497907057.

It is an arithmetic number, because the mean of its divisors is an integer number (20888775180).

Almost surely, 2^{3427070588928} 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 3427070588928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015967251840).

3427070588928 is an abundant number, since it is smaller than the sum of its proper divisors (8604863914752).

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

3427070588928 is a wasteful number, since it uses less digits than its factorization.

3427070588928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7162 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 3427070588928 in words is "three trillion, four hundred twenty-seven billion, seventy million, five hundred eighty-eight thousand, nine hundred twenty-eight".