343522400451120 has 1120 divisors, whose sum is σ = 1311628766011200. Its totient is φ = 82942394204160.

The previous prime is 343522400451103. The next prime is 343522400451137. The reversal of 343522400451120 is 21154004225343.

It is a happy number.

343522400451120 is a `hidden beast` number, since 3 + 4 + 3 + 522 + 4 + 0 + 0 + 4 + 5 + 1 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (343522400451103) and next prime (343522400451137).

It is a super-2 number, since 2×343522400451120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 307540196802 + ... + 307540197918.

It is an arithmetic number, because the mean of its divisors is an integer number (1171097112510).

Almost surely, 2^{343522400451120} is an apocalyptic number.

343522400451120 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 343522400451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655814383005600).

343522400451120 is an abundant number, since it is smaller than the sum of its proper divisors (968106365560080).

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

343522400451120 is a wasteful number, since it uses less digits than its factorization.

343522400451120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 343522400451120 its reverse (21154004225343), we get a palindrome (364676404676463).

The spelling of 343522400451120 in words is "three hundred forty-three trillion, five hundred twenty-two billion, four hundred million, four hundred fifty-one thousand, one hundred twenty".