378306720 has 384 divisors, whose sum is σ = 1524096000. Its totient is φ = 86676480.

The previous prime is 378306703. The next prime is 378306727. The reversal of 378306720 is 27603873.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (378306727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902671 + ... + 903089.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^378306720 is an apocalyptic number.

378306720 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 378306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048000).

378306720 is an abundant number, since it is smaller than the sum of its proper divisors (1145789280).

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

378306720 is a wasteful number, since it uses less digits than its factorization.

378306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 378306720 is about 19450.1084829880. The cubic root of 378306720 is about 723.2381922099.

The spelling of 378306720 in words is "three hundred seventy-eight million, three hundred six thousand, seven hundred twenty".