341475974400 has 864 divisors, whose sum is σ = 1284717772800. Its totient is φ = 79117516800.

The previous prime is 341475974383. The next prime is 341475974401. The reversal of 341475974400 is 4479574143.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 341475974400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341475974401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 777849381 + ... + 777849819.

Almost surely, 2^341475974400 is an apocalyptic number.

341475974400 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 341475974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642358886400).

341475974400 is an abundant number, since it is smaller than the sum of its proper divisors (943241798400).

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

341475974400 is a wasteful number, since it uses less digits than its factorization.

341475974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 341475974400 in words is "three hundred forty-one billion, four hundred seventy-five million, nine hundred seventy-four thousand, four hundred".