378149040 has 80 divisors (see below), whose sum is σ = 1302520800. Its totient is φ = 100839168.

The previous prime is 378149033. The next prime is 378149041. The reversal of 378149040 is 40941873.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 378148986 and 378149004.

It is not an unprimeable number, because it can be changed into a prime (378149041) 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 15 ways as a sum of consecutive naturals, for example, 85375 + ... + 89694.

It is an arithmetic number, because the mean of its divisors is an integer number (16281510).

Almost surely, 2^378149040 is an apocalyptic number.

378149040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378149040 is an abundant number, since it is smaller than the sum of its proper divisors (924371760).

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

378149040 is a wasteful number, since it uses less digits than its factorization.

378149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175091 (or 175079 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 378149040 is about 19446.0546126971. The cubic root of 378149040 is about 723.1376952323.

The spelling of 378149040 in words is "three hundred seventy-eight million, one hundred forty-nine thousand, forty".