1530576348340 has 96 divisors (see below), whose sum is σ = 3574828131840. Its totient is φ = 546896587776.

The previous prime is 1530576348289. The next prime is 1530576348349. The reversal of 1530576348340 is 438436750351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530576348349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383919 + ... + 1791241.

It is an arithmetic number, because the mean of its divisors is an integer number (37237793040).

Almost surely, 2^{1530576348340} is an apocalyptic number.

1530576348340 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 1530576348340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787414065920).

1530576348340 is an abundant number, since it is smaller than the sum of its proper divisors (2044251783500).

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

1530576348340 is a wasteful number, since it uses less digits than its factorization.

1530576348340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407481 (or 1407479 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 1530576348340 in words is "one trillion, five hundred thirty billion, five hundred seventy-six million, three hundred forty-eight thousand, three hundred forty".