1375032384 has 252 divisors, whose sum is σ = 4396051660. Its totient is φ = 410572800.

The previous prime is 1375032383. The next prime is 1375032397. The reversal of 1375032384 is 4832305731.

It can be written as a sum of positive squares in 2 ways, for example, as 371409984 + 1003622400 = 19272^2 + 31680^2 .

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 (1375032383) 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 35 ways as a sum of consecutive naturals, for example, 7596774 + ... + 7596954.

Almost surely, 2^1375032384 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 1375032384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198025830).

1375032384 is an abundant number, since it is smaller than the sum of its proper divisors (3021019276).

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

1375032384 is a wasteful number, since it uses less digits than its factorization.

1375032384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1375032384 is about 37081.4290986742. The cubic root of 1375032384 is about 1111.9987750793.

The spelling of 1375032384 in words is "one billion, three hundred seventy-five million, thirty-two thousand, three hundred eighty-four".