343991324736 has 168 divisors, whose sum is σ = 1056569046624. Its totient is φ = 106618368000.

The previous prime is 343991324731. The next prime is 343991324861. The reversal of 343991324736 is 637423199343.

It is a happy number.

343991324736 is a `hidden beast` number, since 3 + 4 + 39 + 9 + 132 + 473 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (343991324731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601111 + ... + 1024361.

It is an arithmetic number, because the mean of its divisors is an integer number (6289101468).

Almost surely, 2^343991324736 is an apocalyptic number.

343991324736 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 343991324736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528284523312).

343991324736 is an abundant number, since it is smaller than the sum of its proper divisors (712577721888).

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

343991324736 is a wasteful number, since it uses less digits than its factorization.

343991324736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423369 (or 423356 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The spelling of 343991324736 in words is "three hundred forty-three billion, nine hundred ninety-one million, three hundred twenty-four thousand, seven hundred thirty-six".