378733680 has 240 divisors, whose sum is σ = 1403097696. Its totient is φ = 90961920.

The previous prime is 378733679. The next prime is 378733697. The reversal of 378733680 is 86337873.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 402010 + ... + 402950.

Almost surely, 2^378733680 is an apocalyptic number.

378733680 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 378733680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701548848).

378733680 is an abundant number, since it is smaller than the sum of its proper divisors (1024364016).

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

378733680 is a wasteful number, since it uses less digits than its factorization.

378733680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 378733680 is about 19461.0811621554. The cubic root of 378733680 is about 723.5101740578.

The spelling of 378733680 in words is "three hundred seventy-eight million, seven hundred thirty-three thousand, six hundred eighty".