341378100 has 162 divisors, whose sum is σ = 1244890374. Its totient is φ = 78019200.

The previous prime is 341378099. The next prime is 341378123. The reversal of 341378100 is 1873143.

It can be written as a sum of positive squares in 3 ways, for example, as 2965284 + 338412816 = 1722^2 + 18396^2 .

It is a super-2 number, since 2×341378100² = 233078014319220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 40230 + ... + 47970.

Almost surely, 2^341378100 is an apocalyptic number.

341378100 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 341378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622445187).

341378100 is an abundant number, since it is smaller than the sum of its proper divisors (903512274).

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

341378100 is a wasteful number, since it uses less digits than its factorization.

341378100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7775 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 341378100 is about 18476.4201078023. The cubic root of 341378100 is about 698.8949230202.

The spelling of 341378100 in words is "three hundred forty-one million, three hundred seventy-eight thousand, one hundred".