378950400 has 540 divisors, whose sum is σ = 1518074712. Its totient is φ = 92897280.

The previous prime is 378950399. The next prime is 378950423. The reversal of 378950400 is 4059873.

It is a tau number, because it is divible by the number of its divisors (540).

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 (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8812779 + ... + 8812821.

Almost surely, 2^378950400 is an apocalyptic number.

378950400 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 378950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759037356).

378950400 is an abundant number, since it is smaller than the sum of its proper divisors (1139124312).

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

378950400 is a wasteful number, since it uses less digits than its factorization.

378950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 378950400 is about 19466.6484018179. The cubic root of 378950400 is about 723.6481507194.

The spelling of 378950400 in words is "three hundred seventy-eight million, nine hundred fifty thousand, four hundred".