341827061400 has 1728 divisors, whose sum is σ = 1436668047360. Its totient is φ = 72069120000.

The previous prime is 341827061393. The next prime is 341827061423. The reversal of 341827061400 is 4160728143.

341827061400 is a `hidden beast` number, since 3 + 4 + 18 + 27 + 0 + 614 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7272916177 + ... + 7272916223.

It is an arithmetic number, because the mean of its divisors is an integer number (831405120).

Almost surely, 2^341827061400 is an apocalyptic number.

341827061400 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 341827061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718334023680).

341827061400 is an abundant number, since it is smaller than the sum of its proper divisors (1094840985960).

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

341827061400 is a wasteful number, since it uses less digits than its factorization.

341827061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 341827061400 its reverse (4160728143), we get a palindrome (345987789543).

The spelling of 341827061400 in words is "three hundred forty-one billion, eight hundred twenty-seven million, sixty-one thousand, four hundred".