3431444250000 has 560 divisors, whose sum is σ = 12318932315648. Its totient is φ = 817344000000.

The previous prime is 3431444249999. The next prime is 3431444250037. The reversal of 3431444250000 is 524441343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3431444250000.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 302244324 + ... + 302255676.

Almost surely, 2^{3431444250000} is an apocalyptic number.

3431444250000 is a gapful number since it is divisible by the number (30) 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 3431444250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159466157824).

3431444250000 is an abundant number, since it is smaller than the sum of its proper divisors (8887488065648).

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

3431444250000 is a wasteful number, since it uses less digits than its factorization.

3431444250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11438 (or 11407 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 3431444250000 its reverse (524441343), we get a palindrome (3431968691343).

The spelling of 3431444250000 in words is "three trillion, four hundred thirty-one billion, four hundred forty-four million, two hundred fifty thousand".