309384271872 has 1152 divisors, whose sum is σ = 1104340910400. Its totient is φ = 85614133248.

The previous prime is 309384271871. The next prime is 309384271873. The reversal of 309384271872 is 278172483903.

309384271872 is a `hidden beast` number, since 3 + 0 + 9 + 38 + 427 + 187 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (309384271871) and next prime (309384271873).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×309384271872² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309384271871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3189528528 + ... + 3189528624.

Almost surely, 2^309384271872 is an apocalyptic number.

309384271872 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 309384271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552170455200).

309384271872 is an abundant number, since it is smaller than the sum of its proper divisors (794956638528).

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

309384271872 is a wasteful number, since it uses less digits than its factorization.

309384271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 309384271872 in words is "three hundred nine billion, three hundred eighty-four million, two hundred seventy-one thousand, eight hundred seventy-two".