30742588800 has 768 divisors, whose sum is σ = 140301734400. Its totient is φ = 6386688000.

The previous prime is 30742588771. The next prime is 30742588841. The reversal of 30742588800 is 888524703.

It is a super-2 number, since 2×30742588800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6650490 + ... + 6655110.

It is an arithmetic number, because the mean of its divisors is an integer number (182684550).

Almost surely, 2^30742588800 is an apocalyptic number.

30742588800 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 30742588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70150867200).

30742588800 is an abundant number, since it is smaller than the sum of its proper divisors (109559145600).

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

30742588800 is a wasteful number, since it uses less digits than its factorization.

30742588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 30742588800 in words is "thirty billion, seven hundred forty-two million, five hundred eighty-eight thousand, eight hundred".