3835489320 has 320 divisors, whose sum is σ = 14228177040. Its totient is φ = 920678400.

The previous prime is 3835489313. The next prime is 3835489351. The reversal of 3835489320 is 239845383.

3835489320 is a `hidden beast` number, since 3 + 83 + 548 + 9 + 3 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 398481444 + 3437007876 = 19962^2 + 58626^2 .

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 79 ways as a sum of consecutive naturals, for example, 1725810 + ... + 1728030.

Almost surely, 2^3835489320 is an apocalyptic number.

3835489320 is a gapful number since it is divisible by the number (30) 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 3835489320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114088520).

3835489320 is an abundant number, since it is smaller than the sum of its proper divisors (10392687720).

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

3835489320 is a wasteful number, since it uses less digits than its factorization.

3835489320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3835489320 is about 61931.3274522676. The cubic root of 3835489320 is about 1565.3336663983. Note that the first 3 decimals are identical.

The spelling of 3835489320 in words is "three billion, eight hundred thirty-five million, four hundred eighty-nine thousand, three hundred twenty".