343824490912896 has 768 divisors, whose sum is σ = 1143281018880000. Its totient is φ = 97153661952000.

The previous prime is 343824490912871. The next prime is 343824490912897. The reversal of 343824490912896 is 698219094428343.

343824490912896 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 2 + 4 + 490 + 9 + 128 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (343824490912897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195465883665 + ... + 195465885423.

It is an arithmetic number, because the mean of its divisors is an integer number (1488647160000).

Almost surely, 2^{343824490912896} is an apocalyptic number.

343824490912896 is a gapful number since it is divisible by the number (36) 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 343824490912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571640509440000).

343824490912896 is an abundant number, since it is smaller than the sum of its proper divisors (799456527967104).

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

343824490912896 is a wasteful number, since it uses less digits than its factorization.

343824490912896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 343824490912896 in words is "three hundred forty-three trillion, eight hundred twenty-four billion, four hundred ninety million, nine hundred twelve thousand, eight hundred ninety-six".