305379531072 has 504 divisors, whose sum is σ = 1113031344672. Its totient is φ = 79159449600.

The previous prime is 305379531049. The next prime is 305379531073. The reversal of 305379531072 is 270135973503.

305379531072 is a `hidden beast` number, since 3 + 0 + 537 + 9 + 5 + 3 + 107 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×305379531072² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305379531073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 301460038 + ... + 301461050.

Almost surely, 2^305379531072 is an apocalyptic number.

305379531072 is a gapful number since it is divisible by the number (32) 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 305379531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556515672336).

305379531072 is an abundant number, since it is smaller than the sum of its proper divisors (807651813600).

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

305379531072 is a wasteful number, since it uses less digits than its factorization.

305379531072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The spelling of 305379531072 in words is "three hundred five billion, three hundred seventy-nine million, five hundred thirty-one thousand, seventy-two".