30329740800 has 540 divisors, whose sum is σ = 115428723696. Its totient is φ = 7603814400.

The previous prime is 30329740789. The next prime is 30329740823. The reversal of 30329740800 is 804792303.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 33292345 + ... + 33293255.

Almost surely, 2^30329740800 is an apocalyptic number.

30329740800 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 30329740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57714361848).

30329740800 is an abundant number, since it is smaller than the sum of its proper divisors (85098982896).

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

30329740800 is a wasteful number, since it uses less digits than its factorization.

30329740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 30329740800 in words is "thirty billion, three hundred twenty-nine million, seven hundred forty thousand, eight hundred".