378090 has 24 divisors (see below), whose sum is σ = 983268. Its totient is φ = 100800.

The previous prime is 378089. The next prime is 378101. The reversal of 378090 is 90873.

It is a happy number.

378090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 335241 + 42849 = 579^2 + 207^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378090.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2011 + ... + 2190.

2³⁷⁸⁰⁹⁰ is an apocalyptic number.

378090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

378090 is an abundant number, since it is smaller than the sum of its proper divisors (605178).

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

378090 is a wasteful number, since it uses less digits than its factorization.

378090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 378090 is about 614.8902341069. The cubic root of 378090 is about 72.3100059038.

It can be divided in two parts, 3 and 78090, that multiplied together give a triangular number (234270 = T₆₈₄).

The spelling of 378090 in words is "three hundred seventy-eight thousand, ninety".