1538383320 has 128 divisors (see below), whose sum is σ = 5237222400. Its totient is φ = 401493888.

The previous prime is 1538383309. The next prime is 1538383349. The reversal of 1538383320 is 233838351.

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

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 31 ways as a sum of consecutive naturals, for example, 35607 + ... + 65913.

It is an arithmetic number, because the mean of its divisors is an integer number (40915800).

Almost surely, 2^1538383320 is an apocalyptic number.

1538383320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1538383320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618611200).

1538383320 is an abundant number, since it is smaller than the sum of its proper divisors (3698839080).

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

1538383320 is a wasteful number, since it uses less digits than its factorization.

1538383320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30374 (or 30364 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1538383320 is about 39222.2299213087. The cubic root of 1538383320 is about 1154.3961086655.

The spelling of 1538383320 in words is "one billion, five hundred thirty-eight million, three hundred eighty-three thousand, three hundred twenty".