3431102402000 has 640 divisors, whose sum is σ = 10597571712000. Its totient is φ = 1067318784000.

The previous prime is 3431102401997. The next prime is 3431102402009. The reversal of 3431102402000 is 2042011343.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431102402009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 526158740 + ... + 526165260.

It is an arithmetic number, because the mean of its divisors is an integer number (16558705800).

Almost surely, 2^{3431102402000} 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 3431102402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298785856000).

3431102402000 is an abundant number, since it is smaller than the sum of its proper divisors (7166469310000).

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

3431102402000 is a wasteful number, since it uses less digits than its factorization.

3431102402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6637 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3431102402000 its reverse (2042011343), we get a palindrome (3433144413343).

The spelling of 3431102402000 in words is "three trillion, four hundred thirty-one billion, one hundred two million, four hundred two thousand".