343672262640 has 400 divisors, whose sum is σ = 1367385338880. Its totient is φ = 78366942720.

The previous prime is 343672262579. The next prime is 343672262699. The reversal of 343672262640 is 46262276343.

It is a happy number.

343672262640 is a `hidden beast` number, since 3 + 4 + 367 + 2 + 26 + 264 + 0 = 666.

It is a super-2 number, since 2×343672262640² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19541371 + ... + 19558949.

Almost surely, 2^343672262640 is an apocalyptic number.

343672262640 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 343672262640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683692669440).

343672262640 is an abundant number, since it is smaller than the sum of its proper divisors (1023713076240).

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

343672262640 is a wasteful number, since it uses less digits than its factorization.

343672262640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18042 (or 18027 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 343672262640 in words is "three hundred forty-three billion, six hundred seventy-two million, two hundred sixty-two thousand, six hundred forty".