3431002020320 has 96 divisors (see below), whose sum is σ = 9264158640576. Its totient is φ = 1176286003200.

The previous prime is 3431002020317. The next prime is 3431002020409. The reversal of 3431002020320 is 230202001343.

3431002020320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3431002020292 and 3431002020301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27288800 + ... + 27414240.

It is an arithmetic number, because the mean of its divisors is an integer number (96501652506).

Almost surely, 2^{3431002020320} is an apocalyptic number.

It is an amenable number.

3431002020320 is an abundant number, since it is smaller than the sum of its proper divisors (5833156620256).

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

3431002020320 is a wasteful number, since it uses less digits than its factorization.

3431002020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149884 (or 149876 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 3431002020320 its reverse (230202001343), we get a palindrome (3661204021663).

The spelling of 3431002020320 in words is "three trillion, four hundred thirty-one billion, two million, twenty thousand, three hundred twenty".