4397829120 has 352 divisors, whose sum is σ = 16182763200. Its totient is φ = 1131282432.

The previous prime is 4397829101. The next prime is 4397829157. The reversal of 4397829120 is 219287934.

4397829120 is a `hidden beast` number, since 439 + 78 + 29 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4008412 + ... + 4009508.

Almost surely, 2^4397829120 is an apocalyptic number.

4397829120 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 4397829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091381600).

4397829120 is an abundant number, since it is smaller than the sum of its proper divisors (11784934080).

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

4397829120 is a wasteful number, since it uses less digits than its factorization.

4397829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4397829120 is about 66316.1301645384. The cubic root of 4397829120 is about 1638.3730047229.

The spelling of 4397829120 in words is "four billion, three hundred ninety-seven million, eight hundred twenty-nine thousand, one hundred twenty".