4312984320 has 360 divisors, whose sum is σ = 16347127104. Its totient is φ = 1082032128.

The previous prime is 4312984297. The next prime is 4312984327. The reversal of 4312984320 is 234892134.

4312984320 is a `hidden beast` number, since 43 + 1 + 298 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (4312984327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1761337 + ... + 1763783.

Almost surely, 2^4312984320 is an apocalyptic number.

4312984320 is a gapful number since it is divisible by the number (40) 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 4312984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173563552).

4312984320 is an abundant number, since it is smaller than the sum of its proper divisors (12034142784).

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

4312984320 is a wasteful number, since it uses less digits than its factorization.

4312984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4312984320 is about 65673.3151287492. The cubic root of 4312984320 is about 1627.7684494214.

It can be divided in two parts, 43129 and 84320, that added together give a square (127449 = 357²).

The spelling of 4312984320 in words is "four billion, three hundred twelve million, nine hundred eighty-four thousand, three hundred twenty".