4331617380 has 144 divisors (see below), whose sum is σ = 13529106864. Its totient is φ = 1120988160.

The previous prime is 4331617373. The next prime is 4331617387. The reversal of 4331617380 is 837161334.

4331617380 is a `hidden beast` number, since 4 + 3 + 3 + 1 + 617 + 38 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4331617373) and next prime (4331617387).

It can be written as a sum of positive squares in 8 ways, for example, as 69355584 + 4262261796 = 8328^2 + 65286^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4331617387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4082050 + ... + 4083110.

It is an arithmetic number, because the mean of its divisors is an integer number (93952131).

Almost surely, 2^4331617380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4331617380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764553432).

4331617380 is an abundant number, since it is smaller than the sum of its proper divisors (9197489484).

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

4331617380 is a wasteful number, since it uses less digits than its factorization.

4331617380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4331617380 is about 65815.0239686958. The cubic root of 4331617380 is about 1630.1091901210.

The spelling of 4331617380 in words is "four billion, three hundred thirty-one million, six hundred seventeen thousand, three hundred eighty".