30034996826400 has 432 divisors, whose sum is σ = 113169827370600. Its totient is φ = 7469034209280.

The previous prime is 30034996826389. The next prime is 30034996826413. The reversal of 30034996826400 is 462869943003.

30034996826400 is a `hidden beast` number, since 30 + 0 + 3 + 49 + 96 + 82 + 6 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 16528225202064 + 13506771624336 = 4065492^2 + 3675156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12215986 + ... + 14467214.

Almost surely, 2^{30034996826400} is an apocalyptic number.

30034996826400 is a gapful number since it is divisible by the number (30) 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 30034996826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56584913685300).

30034996826400 is an abundant number, since it is smaller than the sum of its proper divisors (83134830544200).

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

30034996826400 is a wasteful number, since it uses less digits than its factorization.

30034996826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251381 (or 2251365 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 30034996826400 in words is "thirty trillion, thirty-four billion, nine hundred ninety-six million, eight hundred twenty-six thousand, four hundred".