378692640 has 72 divisors (see below), whose sum is σ = 1292293548. Its totient is φ = 100984320.

The previous prime is 378692627. The next prime is 378692647. The reversal of 378692640 is 46296873.

It can be written as a sum of positive squares in 2 ways, for example, as 377447184 + 1245456 = 19428^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (378692647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130051 + ... + 132930.

Almost surely, 2^378692640 is an apocalyptic number.

378692640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378692640 is an abundant number, since it is smaller than the sum of its proper divisors (913600908).

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

378692640 is a wasteful number, since it uses less digits than its factorization.

378692640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263002 (or 262991 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 378692640 is about 19460.0267214616. The cubic root of 378692640 is about 723.4840396598.

The spelling of 378692640 in words is "three hundred seventy-eight million, six hundred ninety-two thousand, six hundred forty".