30384072038400 has 576 divisors, whose sum is σ = 106418034122400. Its totient is φ = 7621218140160.

The previous prime is 30384072038297. The next prime is 30384072038459. The reversal of 30384072038400 is 483027048303.

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, 7084183456 + ... + 7084187744.

Almost surely, 2^{30384072038400} is an apocalyptic number.

30384072038400 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 30384072038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53209017061200).

30384072038400 is an abundant number, since it is smaller than the sum of its proper divisors (76033962084000).

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

30384072038400 is a wasteful number, since it uses less digits than its factorization.

30384072038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 30384072038400 in words is "thirty trillion, three hundred eighty-four billion, seventy-two million, thirty-eight thousand, four hundred".