343412424432 has 480 divisors, whose sum is σ = 1265998256640. Its totient is φ = 84188160000.

The previous prime is 343412424419. The next prime is 343412424461. The reversal of 343412424432 is 234424214343.

343412424432 is a `hidden beast` number, since 3 + 4 + 341 + 242 + 44 + 32 = 666.

It is a super-2 number, since 2×343412424432² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59195932 + ... + 59201732.

It is an arithmetic number, because the mean of its divisors is an integer number (2637496368).

Almost surely, 2^343412424432 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 343412424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632999128320).

343412424432 is an abundant number, since it is smaller than the sum of its proper divisors (922585832208).

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

343412424432 is a wasteful number, since it uses less digits than its factorization.

343412424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6124 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 343412424432 its reverse (234424214343), we get a palindrome (577836638775).

The spelling of 343412424432 in words is "three hundred forty-three billion, four hundred twelve million, four hundred twenty-four thousand, four hundred thirty-two".