30745314600 has 1152 divisors, whose sum is σ = 133371463680. Its totient is φ = 5757696000.

The previous prime is 30745314599. The next prime is 30745314629. The reversal of 30745314600 is 641354703.

It is a super-3 number, since 3×30745314600³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 298498149 + ... + 298498251.

It is an arithmetic number, because the mean of its divisors is an integer number (115773840).

Almost surely, 2^30745314600 is an apocalyptic number.

30745314600 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 30745314600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66685731840).

30745314600 is an abundant number, since it is smaller than the sum of its proper divisors (102626149080).

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

30745314600 is a wasteful number, since it uses less digits than its factorization.

30745314600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 30745314600 in words is "thirty billion, seven hundred forty-five million, three hundred fourteen thousand, six hundred".