30343750272 has 384 divisors, whose sum is σ = 100942545600. Its totient is φ = 8652718080.

The previous prime is 30343750259. The next prime is 30343750303. The reversal of 30343750272 is 27205734303.

30343750272 is a `hidden beast` number, since 303 + 4 + 37 + 50 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46467898 + ... + 46468550.

Almost surely, 2^30343750272 is an apocalyptic number.

30343750272 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 30343750272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50471272800).

30343750272 is an abundant number, since it is smaller than the sum of its proper divisors (70598795328).

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

30343750272 is a wasteful number, since it uses less digits than its factorization.

30343750272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The spelling of 30343750272 in words is "thirty billion, three hundred forty-three million, seven hundred fifty thousand, two hundred seventy-two".