3146364440 has 32 divisors (see below), whose sum is σ = 7081020000. Its totient is φ = 1258243584.

The previous prime is 3146364433. The next prime is 3146364443. The reversal of 3146364440 is 444636413.

3146364440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3146364440⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 3146364440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3146364443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241616 + ... + 254304.

It is an arithmetic number, because the mean of its divisors is an integer number (221281875).

Almost surely, 2^3146364440 is an apocalyptic number.

It is an amenable number.

3146364440 is an abundant number, since it is smaller than the sum of its proper divisors (3934655560).

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

3146364440 is a wasteful number, since it uses less digits than its factorization.

3146364440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18899 (or 18895 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 3146364440 is about 56092.4633083626. The cubic root of 3146364440 is about 1465.3330386287. Note that the first 3 decimals are identical.

The spelling of 3146364440 in words is "three billion, one hundred forty-six million, three hundred sixty-four thousand, four hundred forty".