30345099674400 has 1728 divisors, whose sum is σ = 132585566480640. Its totient is φ = 6373284249600.

The previous prime is 30345099674317. The next prime is 30345099674431. The reversal of 30345099674400 is 447699054303.

It is a happy number.

30345099674400 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 50 + 99 + 67 + 440 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7264805112 + ... + 7264809288.

It is an arithmetic number, because the mean of its divisors is an integer number (76727758380).

Almost surely, 2^{30345099674400} is an apocalyptic number.

30345099674400 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 30345099674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66292783240320).

30345099674400 is an abundant number, since it is smaller than the sum of its proper divisors (102240466806240).

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

30345099674400 is a wasteful number, since it uses less digits than its factorization.

30345099674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 30345099674400 in words is "thirty trillion, three hundred forty-five billion, ninety-nine million, six hundred seventy-four thousand, four hundred".