344201132000 has 384 divisors, whose sum is σ = 945372145536. Its totient is φ = 122112000000.

The previous prime is 344201131991. The next prime is 344201132017. The reversal of 344201132000 is 231102443.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324411470 + ... + 324412530.

It is an arithmetic number, because the mean of its divisors is an integer number (2461906629).

Almost surely, 2^344201132000 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 344201132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472686072768).

344201132000 is an abundant number, since it is smaller than the sum of its proper divisors (601171013536).

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

344201132000 is a wasteful number, since it uses less digits than its factorization.

344201132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1253 counting only the distinct ones).

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

Adding to 344201132000 its reverse (231102443), we get a palindrome (344432234443).

The spelling of 344201132000 in words is "three hundred forty-four billion, two hundred one million, one hundred thirty-two thousand".