378162900 has 108 divisors (see below), whose sum is σ = 1226288700. Its totient is φ = 97359360.

The previous prime is 378162859. The next prime is 378162901. The reversal of 378162900 is 9261873.

It can be written as a sum of positive squares in 6 ways, for example, as 39087504 + 339075396 = 6252^2 + 18414^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378162901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18856 + ... + 33344.

It is an arithmetic number, because the mean of its divisors is an integer number (11354525).

Almost surely, 2^378162900 is an apocalyptic number.

378162900 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 378162900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613144350).

378162900 is an abundant number, since it is smaller than the sum of its proper divisors (848125800).

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

378162900 is a wasteful number, since it uses less digits than its factorization.

378162900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14538 (or 14528 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 378162900 is about 19446.4109799212. The cubic root of 378162900 is about 723.1465299905.

The spelling of 378162900 in words is "three hundred seventy-eight million, one hundred sixty-two thousand, nine hundred".