378993940 has 48 divisors (see below), whose sum is σ = 858976272. Its totient is φ = 139631616.

The previous prime is 378993929. The next prime is 378993943. The reversal of 378993940 is 49399873.

It can be written as a sum of positive squares in 8 ways, for example, as 14107536 + 364886404 = 3756^2 + 19102^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378993943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143512 + ... + 146128.

It is an arithmetic number, because the mean of its divisors is an integer number (17895339).

Almost surely, 2^378993940 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 378993940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429488136).

378993940 is an abundant number, since it is smaller than the sum of its proper divisors (479982332).

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

378993940 is a wasteful number, since it uses less digits than its factorization.

378993940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The square root of 378993940 is about 19467.7666926641. The cubic root of 378993940 is about 723.6758644904.

The spelling of 378993940 in words is "three hundred seventy-eight million, nine hundred ninety-three thousand, nine hundred forty".