30084208704 has 441 divisors, whose sum is σ = 99749445789. Its totient is φ = 8991544320.

The previous prime is 30084208699. The next prime is 30084208783. The reversal of 30084208704 is 40780248003.

The square root of 30084208704 is 173448.

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

30084208704 is a `hidden beast` number, since 300 + 84 + 208 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17077262400 + 13006946304 = 130680^2 + 114048^2 .

It is a super-2 number, since 2×30084208704² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 412112412 + ... + 412112484.

Almost surely, 2^30084208704 is an apocalyptic number.

30084208704 is the 173448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30084208704

30084208704 is an abundant number, since it is smaller than the sum of its proper divisors (69665237085).

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

30084208704 is an frugal number, since it uses more digits than its factorization.

30084208704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 30084208704 by its sum of digits (36), we get a square (1083031513344 = 1040688²).

30084208704 divided by its sum of digits (36) gives a square (835672464 = 28908²).

The spelling of 30084208704 in words is "thirty billion, eighty-four million, two hundred eight thousand, seven hundred four".