341313008400 has 1215 divisors, whose sum is σ = 1506044480031. Its totient is φ = 71340272640.

The previous prime is 341313008363. The next prime is 341313008419. The reversal of 341313008400 is 4800313143.

The square root of 341313008400 is 584220.

It is a perfect power (a square), and thus also a powerful number.

341313008400 is a `hidden beast` number, since 341 + 313 + 0 + 0 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87973932816 + 253339075584 = 296604^2 + 503328^2 .

It is a super-3 number, since 3×341313008400³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3189841147 + ... + 3189841253.

Almost surely, 2^341313008400 is an apocalyptic number.

341313008400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

341313008400 is the 584220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341313008400

341313008400 is an abundant number, since it is smaller than the sum of its proper divisors (1164731471631).

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

341313008400 is a wasteful number, since it uses less digits than its factorization.

341313008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 341313008400 in words is "three hundred forty-one billion, three hundred thirteen million, eight thousand, four hundred".