2973672000 has 560 divisors, whose sum is σ = 11880780912. Its totient is φ = 729907200.

The previous prime is 2973671983. The next prime is 2973672029. The reversal of 2973672000 is 2763792.

2973672000 is a `hidden beast` number, since 2 + 97 + 367 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1672482816 + 1301189184 = 40896^2 + 36072^2 .

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8423824 + ... + 8424176.

Almost surely, 2^2973672000 is an apocalyptic number.

2973672000 is a gapful number since it is divisible by the number (20) 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 2973672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940390456).

2973672000 is an abundant number, since it is smaller than the sum of its proper divisors (8907108912).

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

2973672000 is a wasteful number, since it uses less digits than its factorization.

2973672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2973672000 is about 54531.3854582845. The cubic root of 2973672000 is about 1438.0181068761.

The spelling of 2973672000 in words is "two billion, nine hundred seventy-three million, six hundred seventy-two thousand".