30484973376 has 1120 divisors, whose sum is σ = 117103916160. Its totient is φ = 7697203200.

The previous prime is 30484973357. The next prime is 30484973429. The reversal of 30484973376 is 67337948403.

It is a happy number.

30484973376 is a `hidden beast` number, since 3 + 0 + 484 + 97 + 3 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 516694435 + ... + 516694493.

It is an arithmetic number, because the mean of its divisors is an integer number (104557068).

Almost surely, 2^30484973376 is an apocalyptic number.

30484973376 is a gapful number since it is divisible by the number (36) 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 30484973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58551958080).

30484973376 is an abundant number, since it is smaller than the sum of its proper divisors (86618942784).

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

30484973376 is a wasteful number, since it uses less digits than its factorization.

30484973376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

It can be divided in two parts, 304849 and 73376, that added together give a square (378225 = 615²).

The spelling of 30484973376 in words is "thirty billion, four hundred eighty-four million, nine hundred seventy-three thousand, three hundred seventy-six".