378015400 has 144 divisors (see below), whose sum is σ = 1082994300. Its totient is φ = 121927680.

The previous prime is 378015371. The next prime is 378015409. The reversal of 378015400 is 4510873.

It can be written as a sum of positive squares in 6 ways, for example, as 87721956 + 290293444 = 9366^2 + 17038^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (378015409) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 165466 + ... + 167734.

Almost surely, 2^378015400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541497150).

378015400 is an abundant number, since it is smaller than the sum of its proper divisors (704978900).

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

378015400 is a wasteful number, since it uses less digits than its factorization.

378015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 378015400 is about 19442.6181364548. The cubic root of 378015400 is about 723.0524982173.

The spelling of 378015400 in words is "three hundred seventy-eight million, fifteen thousand, four hundred".