3146400594928 has 80 divisors (see below), whose sum is σ = 6531224832000. Its totient is φ = 1464062535936.

The previous prime is 3146400594919. The next prime is 3146400594973. The reversal of 3146400594928 is 8294950046413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4398633 + ... + 5063671.

It is an arithmetic number, because the mean of its divisors is an integer number (81640310400).

Almost surely, 2^{3146400594928} is an apocalyptic number.

3146400594928 is a gapful number since it is divisible by the number (38) 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 3146400594928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265612416000).

3146400594928 is an abundant number, since it is smaller than the sum of its proper divisors (3384824237072).

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

3146400594928 is a wasteful number, since it uses less digits than its factorization.

3146400594928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665342 (or 665336 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 3146400594928 in words is "three trillion, one hundred forty-six billion, four hundred million, five hundred ninety-four thousand, nine hundred twenty-eight".