378180090 has 80 divisors (see below), whose sum is σ = 1020218760. Its totient is φ = 100517760.

The previous prime is 378180083. The next prime is 378180119. The reversal of 378180090 is 90081873.

378180090 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 4 ways, for example, as 62869041 + 315311049 = 7929^2 + 17757^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 340456 + ... + 341564.

Almost surely, 2^378180090 is an apocalyptic number.

378180090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378180090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510109380).

378180090 is an abundant number, since it is smaller than the sum of its proper divisors (642038670).

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

378180090 is a wasteful number, since it uses less digits than its factorization.

378180090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 378180090 is about 19446.8529587694. The cubic root of 378180090 is about 723.1574870855.

The spelling of 378180090 in words is "three hundred seventy-eight million, one hundred eighty thousand, ninety".