4352976000 has 768 divisors, whose sum is σ = 17293161600. Its totient is φ = 1045094400.

The previous prime is 4352975989. The next prime is 4352976013. The reversal of 4352976000 is 6792534.

4352976000 is a `hidden beast` number, since 43 + 5 + 2 + 9 + 7 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101231979 + ... + 101232021.

Almost surely, 2^4352976000 is an apocalyptic number.

4352976000 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 4352976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646580800).

4352976000 is an abundant number, since it is smaller than the sum of its proper divisors (12940185600).

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

4352976000 is a wasteful number, since it uses less digits than its factorization.

4352976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4352976000 is about 65977.0869317523. The cubic root of 4352976000 is about 1632.7840811351.

The spelling of 4352976000 in words is "four billion, three hundred fifty-two million, nine hundred seventy-six thousand".