341384102400 has 1080 divisors, whose sum is σ = 1316576104272. Its totient is φ = 77328384000.

The previous prime is 341384102399. The next prime is 341384102407. The reversal of 341384102400 is 4201483143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (341384102407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11012390385 + ... + 11012390415.

Almost surely, 2^341384102400 is an apocalyptic number.

341384102400 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 341384102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658288052136).

341384102400 is an abundant number, since it is smaller than the sum of its proper divisors (975192001872).

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

341384102400 is a wasteful number, since it uses less digits than its factorization.

341384102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 341384102400 its reverse (4201483143), we get a palindrome (345585585543).

The spelling of 341384102400 in words is "three hundred forty-one billion, three hundred eighty-four million, one hundred two thousand, four hundred".