378289440 has 360 divisors, whose sum is σ = 1432239732. Its totient is φ = 94003200.

The previous prime is 378289421. The next prime is 378289453. The reversal of 378289440 is 44982873.

It can be written as a sum of positive squares in 6 ways, for example, as 351787536 + 26501904 = 18756^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3745390 + ... + 3745490.

Almost surely, 2^378289440 is an apocalyptic number.

378289440 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 378289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716119866).

378289440 is an abundant number, since it is smaller than the sum of its proper divisors (1053950292).

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

378289440 is a wasteful number, since it uses less digits than its factorization.

378289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 378289440 is about 19449.6642644545. The cubic root of 378289440 is about 723.2271802051.

The spelling of 378289440 in words is "three hundred seventy-eight million, two hundred eighty-nine thousand, four hundred forty".