30349313084376 has 384 divisors, whose sum is σ = 99832981248000. Its totient is φ = 8202945945600.

The previous prime is 30349313084369. The next prime is 30349313084417. The reversal of 30349313084376 is 67348031394303.

30349313084376 is a `hidden beast` number, since 3 + 0 + 3 + 493 + 1 + 3 + 0 + 84 + 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210264840 + ... + 210409128.

It is an arithmetic number, because the mean of its divisors is an integer number (259981722000).

Almost surely, 2^{30349313084376} is an apocalyptic number.

30349313084376 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 30349313084376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49916490624000).

30349313084376 is an abundant number, since it is smaller than the sum of its proper divisors (69483668163624).

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

30349313084376 is a wasteful number, since it uses less digits than its factorization.

30349313084376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145015 (or 145008 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 30349313084376 in words is "thirty trillion, three hundred forty-nine billion, three hundred thirteen million, eighty-four thousand, three hundred seventy-six".