2963872800 has 648 divisors, whose sum is σ = 12596193792. Its totient is φ = 653184000.

The previous prime is 2963872799. The next prime is 2963872801. The reversal of 2963872800 is 82783692.

2963872800 is a `hidden beast` number, since 2 + 9 + 638 + 7 + 2 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2963872799) and next prime (2963872801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2963872801) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 10936665 + ... + 10936935.

Almost surely, 2^2963872800 is an apocalyptic number.

2963872800 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 2963872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298096896).

2963872800 is an abundant number, since it is smaller than the sum of its proper divisors (9632320992).

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

2963872800 is a wasteful number, since it uses less digits than its factorization.

2963872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2963872800 is about 54441.4621405414. The cubic root of 2963872800 is about 1436.4367921449.

The spelling of 2963872800 in words is "two billion, nine hundred sixty-three million, eight hundred seventy-two thousand, eight hundred".