340003123200 has 1404 divisors, whose sum is σ = 1377297974520. Its totient is φ = 80050913280.

The previous prime is 340003123133. The next prime is 340003123219. The reversal of 340003123200 is 2321300043.

340003123200 is a `hidden beast` number, since 3 + 400 + 0 + 31 + 232 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5762764771 + ... + 5762764829.

Almost surely, 2^340003123200 is an apocalyptic number.

340003123200 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 340003123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688648987260).

340003123200 is an abundant number, since it is smaller than the sum of its proper divisors (1037294851320).

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

340003123200 is a wasteful number, since it uses less digits than its factorization.

340003123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 340003123200 its reverse (2321300043), we get a palindrome (342324423243).

It can be divided in two parts, 340003 and 123200, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 340003123200 in words is "three hundred forty billion, three million, one hundred twenty-three thousand, two hundred".