343816026840 has 768 divisors, whose sum is σ = 1425221568000. Its totient is φ = 72880404480.

The previous prime is 343816026803. The next prime is 343816026847. The reversal of 343816026840 is 48620618343.

343816026840 is a `hidden beast` number, since 3 + 4 + 38 + 1 + 602 + 6 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343816026847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38142174 + ... + 38151186.

It is an arithmetic number, because the mean of its divisors is an integer number (1855757250).

Almost surely, 2^343816026840 is an apocalyptic number.

343816026840 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 343816026840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712610784000).

343816026840 is an abundant number, since it is smaller than the sum of its proper divisors (1081405541160).

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

343816026840 is a wasteful number, since it uses less digits than its factorization.

343816026840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9089 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 343816026840 in words is "three hundred forty-three billion, eight hundred sixteen million, twenty-six thousand, eight hundred forty".