379688400 has 720 divisors, whose sum is σ = 1735027840. Its totient is φ = 74649600.

The previous prime is 379688383. The next prime is 379688401. The reversal of 379688400 is 4886973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379688401) 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 143 ways as a sum of consecutive naturals, for example, 6224370 + ... + 6224430.

Almost surely, 2^379688400 is an apocalyptic number.

379688400 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 379688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867513920).

379688400 is an abundant number, since it is smaller than the sum of its proper divisors (1355339440).

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

379688400 is a wasteful number, since it uses less digits than its factorization.

379688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 379688400 is about 19485.5946791470. The cubic root of 379688400 is about 724.1176105956.

The spelling of 379688400 in words is "three hundred seventy-nine million, six hundred eighty-eight thousand, four hundred".