3830440320 has 256 divisors, whose sum is σ = 15504652800. Its totient is φ = 875501568.

The previous prime is 3830440319. The next prime is 3830440331. The reversal of 3830440320 is 230440383.

3830440320 is a `hidden beast` number, since 38 + 304 + 4 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 105127 + ... + 136793.

It is an arithmetic number, because the mean of its divisors is an integer number (60565050).

Almost surely, 2^3830440320 is an apocalyptic number.

3830440320 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 3830440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7752326400).

3830440320 is an abundant number, since it is smaller than the sum of its proper divisors (11674212480).

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

3830440320 is a wasteful number, since it uses less digits than its factorization.

3830440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31702 (or 31684 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3830440320 is about 61890.5511366638. The cubic root of 3830440320 is about 1564.6465015602.

The spelling of 3830440320 in words is "three billion, eight hundred thirty million, four hundred forty thousand, three hundred twenty".