4374005616 has 160 divisors (see below), whose sum is σ = 13653679680. Its totient is φ = 1335066624.

The previous prime is 4374005563. The next prime is 4374005617. The reversal of 4374005616 is 6165004734.

It is a happy number.

4374005616 is a `hidden beast` number, since 4 + 37 + 4 + 0 + 0 + 5 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374005617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263680 + ... + 279776.

It is an arithmetic number, because the mean of its divisors is an integer number (85335498).

Almost surely, 2^4374005616 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 4374005616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826839840).

4374005616 is an abundant number, since it is smaller than the sum of its proper divisors (9279674064).

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

4374005616 is a wasteful number, since it uses less digits than its factorization.

4374005616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16168 (or 16156 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4374005616 is about 66136.2655129544. The cubic root of 4374005616 is about 1635.4092334766.

The spelling of 4374005616 in words is "four billion, three hundred seventy-four million, five thousand, six hundred sixteen".