378007040 has 80 divisors (see below), whose sum is σ = 913334400. Its totient is φ = 150036480.

The previous prime is 378007039. The next prime is 378007043. The reversal of 378007040 is 40700873.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 378006994 and 378007012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378007043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380945 + ... + 381935.

It is an arithmetic number, because the mean of its divisors is an integer number (11416680).

Almost surely, 2^378007040 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 378007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456667200).

378007040 is an abundant number, since it is smaller than the sum of its proper divisors (535327360).

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

378007040 is an equidigital number, since it uses as much as digits as its factorization.

378007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 378007040 is about 19442.4031436446. The cubic root of 378007040 is about 723.0471679553.

The spelling of 378007040 in words is "three hundred seventy-eight million, seven thousand, forty".