378105732 has 60 divisors (see below), whose sum is σ = 992199516. Its totient is φ = 125556480.

The previous prime is 378105697. The next prime is 378105737. The reversal of 378105732 is 237501873.

378105732 is a `hidden beast` number, since 3 + 7 + 81 + 0 + 573 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99082116 + 279023616 = 9954^2 + 16704^2 .

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

It is not an unprimeable number, because it can be changed into a prime (378105737) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88968 + ... + 93120.

Almost surely, 2^378105732 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 378105732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496099758).

378105732 is an abundant number, since it is smaller than the sum of its proper divisors (614093784).

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

378105732 is a wasteful number, since it uses less digits than its factorization.

378105732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 378105732 is about 19444.9410387381. The cubic root of 378105732 is about 723.1100880901.

The spelling of 378105732 in words is "three hundred seventy-eight million, one hundred five thousand, seven hundred thirty-two".