3629976000 has 896 divisors, whose sum is σ = 15337340928. Its totient is φ = 737280000.

The previous prime is 3629975929. The next prime is 3629976029. The reversal of 3629976000 is 6799263.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 88535980 + ... + 88536020.

It is an arithmetic number, because the mean of its divisors is an integer number (17117568).

Almost surely, 2^3629976000 is an apocalyptic number.

3629976000 is a gapful number since it is divisible by the number (30) 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 3629976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668670464).

3629976000 is an abundant number, since it is smaller than the sum of its proper divisors (11707364928).

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

3629976000 is a wasteful number, since it uses less digits than its factorization.

3629976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 3629976000 is about 60249.2821534000. The cubic root of 3629976000 is about 1536.8609810589.

The spelling of 3629976000 in words is "three billion, six hundred twenty-nine million, nine hundred seventy-six thousand".