30738938400 has 288 divisors, whose sum is σ = 111930336000. Its totient is φ = 8141184000.

The previous prime is 30738938393. The next prime is 30738938413. The reversal of 30738938400 is 483983703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3213625 + ... + 3223175.

It is an arithmetic number, because the mean of its divisors is an integer number (388647000).

Almost surely, 2^30738938400 is an apocalyptic number.

30738938400 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 30738938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55965168000).

30738938400 is an abundant number, since it is smaller than the sum of its proper divisors (81191397600).

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

30738938400 is a wasteful number, since it uses less digits than its factorization.

30738938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9729 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 30738938400 in words is "thirty billion, seven hundred thirty-eight million, nine hundred thirty-eight thousand, four hundred".