4434646320 has 400 divisors, whose sum is σ = 16878419712. Its totient is φ = 1072465920.

The previous prime is 4434646301. The next prime is 4434646339. The reversal of 4434646320 is 236464344.

4434646320 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 646 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4434646301) and next prime (4434646339).

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

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, 5138209 + ... + 5139071.

Almost surely, 2^4434646320 is an apocalyptic number.

4434646320 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 4434646320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439209856).

4434646320 is an abundant number, since it is smaller than the sum of its proper divisors (12443773392).

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

4434646320 is a wasteful number, since it uses less digits than its factorization.

4434646320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 4434646320 is about 66593.1401872595. The cubic root of 4434646320 is about 1642.9322812911.

The spelling of 4434646320 in words is "four billion, four hundred thirty-four million, six hundred forty-six thousand, three hundred twenty".