343078403532480 has 1680 divisors, whose sum is σ = 1538497206301440. Its totient is φ = 71035827793920.

The previous prime is 343078403532443. The next prime is 343078403532511. The reversal of 343078403532480 is 84235304870343.

343078403532480 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 7 + 8 + 40 + 353 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 6213022311 + ... + 6213077529.

It is an arithmetic number, because the mean of its divisors is an integer number (915772146608).

Almost surely, 2^{343078403532480} is an apocalyptic number.

343078403532480 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 343078403532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769248603150720).

343078403532480 is an abundant number, since it is smaller than the sum of its proper divisors (1195418802768960).

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

343078403532480 is a wasteful number, since it uses less digits than its factorization.

343078403532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55560 (or 55530 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 343078403532480 in words is "three hundred forty-three trillion, seventy-eight billion, four hundred three million, five hundred thirty-two thousand, four hundred eighty".