343488444411840 has 896 divisors, whose sum is σ = 1372472767733760. Its totient is φ = 70844060270592.

The previous prime is 343488444411839. The next prime is 343488444411869. The reversal of 343488444411840 is 48114444884343.

It is a super-2 number, since 2×343488444411840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3403757224 + ... + 3403858136.

It is an arithmetic number, because the mean of its divisors is an integer number (1531777642560).

Almost surely, 2^{343488444411840} is an apocalyptic number.

343488444411840 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 343488444411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686236383866880).

343488444411840 is an abundant number, since it is smaller than the sum of its proper divisors (1028984323321920).

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

343488444411840 is a wasteful number, since it uses less digits than its factorization.

343488444411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101829 (or 101819 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 60.

The spelling of 343488444411840 in words is "three hundred forty-three trillion, four hundred eighty-eight billion, four hundred forty-four million, four hundred eleven thousand, eight hundred forty".