30274274400 has 288 divisors, whose sum is σ = 103128899328. Its totient is φ = 7699507200.

The previous prime is 30274274383. The next prime is 30274274419. The reversal of 30274274400 is 447247203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27102642 + ... + 27103758.

It is an arithmetic number, because the mean of its divisors is an integer number (358086456).

Almost surely, 2^30274274400 is an apocalyptic number.

30274274400 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 30274274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51564449664).

30274274400 is an abundant number, since it is smaller than the sum of its proper divisors (72854624928).

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

30274274400 is a wasteful number, since it uses less digits than its factorization.

30274274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The spelling of 30274274400 in words is "thirty billion, two hundred seventy-four million, two hundred seventy-four thousand, four hundred".