4356120384 has 420 divisors, whose sum is σ = 16397203680. Its totient is φ = 1130734080.

The previous prime is 4356120361. The next prime is 4356120401. The reversal of 4356120384 is 4830216534.

4356120384 is a `hidden beast` number, since 4 + 3 + 5 + 612 + 0 + 38 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2793397 + ... + 2794955.

Almost surely, 2^4356120384 is an apocalyptic number.

4356120384 is a gapful number since it is divisible by the number (44) 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 4356120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198601840).

4356120384 is an abundant number, since it is smaller than the sum of its proper divisors (12041083296).

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

4356120384 is a wasteful number, since it uses less digits than its factorization.

4356120384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4356120384 is about 66000.9119936990. The cubic root of 4356120384 is about 1633.1771351764.

The spelling of 4356120384 in words is "four billion, three hundred fifty-six million, one hundred twenty thousand, three hundred eighty-four".