4006345728 has 176 divisors, whose sum is σ = 13314081024. Its totient is φ = 1040547840.

The previous prime is 4006345697. The next prime is 4006345771. The reversal of 4006345728 is 8275436004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228076 + ... + 245012.

Almost surely, 2^4006345728 is an apocalyptic number.

4006345728 is a gapful number since it is divisible by the number (48) 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 4006345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657040512).

4006345728 is an abundant number, since it is smaller than the sum of its proper divisors (9307735296).

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

4006345728 is a wasteful number, since it uses less digits than its factorization.

4006345728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16978 (or 16960 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 4006345728 is about 63295.7007070780. The cubic root of 4006345728 is about 1588.2400430656.

The spelling of 4006345728 in words is "four billion, six million, three hundred forty-five thousand, seven hundred twenty-eight".