378691600 has 135 divisors (see below), whose sum is σ = 1066015197. Its totient is φ = 128903040.

The previous prime is 378691517. The next prime is 378691667. The reversal of 378691600 is 6196873.

The square root of 378691600 is 19460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 136328976 + 242362624 = 11676^2 + 15568^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2724331 + ... + 2724469.

Almost surely, 2^378691600 is an apocalyptic number.

378691600 is the 19460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378691600

378691600 is an abundant number, since it is smaller than the sum of its proper divisors (687323597).

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

378691600 is a wasteful number, since it uses less digits than its factorization.

378691600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The cubic root of 378691600 is about 723.4833773601.

The spelling of 378691600 in words is "three hundred seventy-eight million, six hundred ninety-one thousand, six hundred".