30743106408 has 384 divisors, whose sum is σ = 106964582400. Its totient is φ = 7765051392.

The previous prime is 30743106397. The next prime is 30743106439. The reversal of 30743106408 is 80460134703.

30743106408 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 3 + 1 + 0 + 640 + 8 = 666.

It is a super-2 number, since 2×30743106408² (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20673841 + ... + 20675327.

It is an arithmetic number, because the mean of its divisors is an integer number (278553600).

Almost surely, 2^30743106408 is an apocalyptic number.

30743106408 is a gapful number since it is divisible by the number (38) 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 30743106408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53482291200).

30743106408 is an abundant number, since it is smaller than the sum of its proper divisors (76221475992).

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

30743106408 is a wasteful number, since it uses less digits than its factorization.

30743106408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 30743106408 in words is "thirty billion, seven hundred forty-three million, one hundred six thousand, four hundred eight".