378342720 has 336 divisors, whose sum is σ = 1521561600. Its totient is φ = 86252544.

The previous prime is 378342719. The next prime is 378342733. The reversal of 378342720 is 27243873.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 987649 + ... + 988031.

Almost surely, 2^378342720 is an apocalyptic number.

378342720 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 378342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760780800).

378342720 is an abundant number, since it is smaller than the sum of its proper divisors (1143218880).

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

378342720 is a wasteful number, since it uses less digits than its factorization.

378342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 378342720 is about 19451.0339056822. The cubic root of 378342720 is about 723.2611328096.

The spelling of 378342720 in words is "three hundred seventy-eight million, three hundred forty-two thousand, seven hundred twenty".