30370729984 has 117 divisors (see below), whose sum is σ = 70831893657. Its totient is φ = 12982566912.

The previous prime is 30370729967. The next prime is 30370730003. The reversal of 30370729984 is 48992707303.

It is a happy number.

The square root of 30370729984 is 174272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7169347584 + 23201382400 = 84672^2 + 152320^2 .

It is a super-2 number, since 2×30370729984² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78073662 + ... + 78074050.

Almost surely, 2^30370729984 is an apocalyptic number.

30370729984 is the 174272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30370729984

30370729984 is an abundant number, since it is smaller than the sum of its proper divisors (40461163673).

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

30370729984 is an frugal number, since it uses more digits than its factorization.

30370729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 30370729984 in words is "thirty billion, three hundred seventy million, seven hundred twenty-nine thousand, nine hundred eighty-four".