379240414200 has 288 divisors, whose sum is σ = 1373351943600. Its totient is φ = 93470976000.

The previous prime is 379240414199. The next prime is 379240414213. The reversal of 379240414200 is 2414042973.

379240414200 is a `hidden beast` number, since 37 + 9 + 2 + 4 + 0 + 414 + 200 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1266970 + ... + 1537430.

Almost surely, 2^379240414200 is an apocalyptic number.

379240414200 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 379240414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686675971800).

379240414200 is an abundant number, since it is smaller than the sum of its proper divisors (994111529400).

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

379240414200 is a wasteful number, since it uses less digits than its factorization.

379240414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270543 (or 270531 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 379240414200 in words is "three hundred seventy-nine billion, two hundred forty million, four hundred fourteen thousand, two hundred".