30349541376 has 720 divisors, whose sum is σ = 114354208640. Its totient is φ = 7882997760.

The previous prime is 30349541333. The next prime is 30349541389. The reversal of 30349541376 is 67314594303.

30349541376 is a `hidden beast` number, since 3 + 0 + 34 + 9 + 541 + 3 + 76 = 666.

It is a congruent number.

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, 2759049211 + ... + 2759049221.

Almost surely, 2^30349541376 is an apocalyptic number.

30349541376 is a gapful number since it is divisible by the number (36) 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 30349541376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57177104320).

30349541376 is an abundant number, since it is smaller than the sum of its proper divisors (84004667264).

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

30349541376 is an frugal number, since it uses more digits than its factorization.

30349541376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 30349541376 in words is "thirty billion, three hundred forty-nine million, five hundred forty-one thousand, three hundred seventy-six".