343208428093440 has 7680 divisors, whose sum is σ = 1712230410240000. Its totient is φ = 64457929654272.

The previous prime is 343208428093373. The next prime is 343208428093451. The reversal of 343208428093440 is 44390824802343.

343208428093440 is a `hidden beast` number, since 3 + 4 + 3 + 208 + 428 + 0 + 9 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×343208428093440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3856274472916 + ... + 3856274473004.

It is an arithmetic number, because the mean of its divisors is an integer number (222946668000).

Almost surely, 2^{343208428093440} is an apocalyptic number.

343208428093440 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 343208428093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856115205120000).

343208428093440 is an abundant number, since it is smaller than the sum of its proper divisors (1369021982146560).

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

343208428093440 is a wasteful number, since it uses less digits than its factorization.

343208428093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 343208428093440 in words is "three hundred forty-three trillion, two hundred eight billion, four hundred twenty-eight million, ninety-three thousand, four hundred forty".