1375684830 has 256 divisors, whose sum is σ = 4180377600. Its totient is φ = 319541760.

The previous prime is 1375684787. The next prime is 1375684867. The reversal of 1375684830 is 384865731.

1375684830 is a `hidden beast` number, since 1 + 3 + 7 + 568 + 4 + 83 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5113936 + ... + 5114204.

It is an arithmetic number, because the mean of its divisors is an integer number (16329600).

Almost surely, 2^1375684830 is an apocalyptic number.

1375684830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375684830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090188800).

1375684830 is an abundant number, since it is smaller than the sum of its proper divisors (2804692770).

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

1375684830 is a wasteful number, since it uses less digits than its factorization.

1375684830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1375684830 is about 37090.2255318028. The cubic root of 1375684830 is about 1112.1746265574.

The spelling of 1375684830 in words is "one billion, three hundred seventy-five million, six hundred eighty-four thousand, eight hundred thirty".