3146422319440 has 160 divisors (see below), whose sum is σ = 7746731498880. Its totient is φ = 1186442729472.

The previous prime is 3146422319393. The next prime is 3146422319449. The reversal of 3146422319440 is 449132246413.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3146422319449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354841887 + ... + 354850753.

It is an arithmetic number, because the mean of its divisors is an integer number (48417071868).

Almost surely, 2^{3146422319440} 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 3146422319440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873365749440).

3146422319440 is an abundant number, since it is smaller than the sum of its proper divisors (4600309179440).

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

3146422319440 is a wasteful number, since it uses less digits than its factorization.

3146422319440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 3146422319440 in words is "three trillion, one hundred forty-six billion, four hundred twenty-two million, three hundred nineteen thousand, four hundred forty".