343711469413440 has 560 divisors, whose sum is σ = 1249170894461952. Its totient is φ = 89669252911104.

The previous prime is 343711469413399. The next prime is 343711469413453. The reversal of 343711469413440 is 44314964117343.

343711469413440 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 1 + 1 + 469 + 4 + 134 + 40 = 666.

It is a super-2 number, since 2×343711469413440² (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 79 ways as a sum of consecutive naturals, for example, 3017523529 + ... + 3017637431.

Almost surely, 2^{343711469413440} is an apocalyptic number.

343711469413440 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 343711469413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624585447230976).

343711469413440 is an abundant number, since it is smaller than the sum of its proper divisors (905459425048512).

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

343711469413440 is a wasteful number, since it uses less digits than its factorization.

343711469413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116456 (or 116437 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 343711469413440 in words is "three hundred forty-three trillion, seven hundred eleven billion, four hundred sixty-nine million, four hundred thirteen thousand, four hundred forty".