341534100650400 has 1440 divisors, whose sum is σ = 1503248320949760. Its totient is φ = 73714785454080.

The previous prime is 341534100650399. The next prime is 341534100650417. The reversal of 341534100650400 is 4056001435143.

341534100650400 is a `hidden beast` number, since 3 + 4 + 15 + 34 + 100 + 6 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2645784259 + ... + 2645913341.

It is an arithmetic number, because the mean of its divisors is an integer number (1043922445104).

Almost surely, 2^{341534100650400} is an apocalyptic number.

341534100650400 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 341534100650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751624160474880).

341534100650400 is an abundant number, since it is smaller than the sum of its proper divisors (1161714220299360).

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

341534100650400 is a wasteful number, since it uses less digits than its factorization.

341534100650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129448 (or 129426 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 341534100650400 in words is "three hundred forty-one trillion, five hundred thirty-four billion, one hundred million, six hundred fifty thousand, four hundred".