3672776800 has 288 divisors, whose sum is σ = 11301776640. Its totient is φ = 1132185600.

The previous prime is 3672776797. The next prime is 3672776837. The reversal of 3672776800 is 86772763.

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 47 ways as a sum of consecutive naturals, for example, 6714127 + ... + 6714673.

It is an arithmetic number, because the mean of its divisors is an integer number (39242280).

Almost surely, 2^3672776800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650888320).

3672776800 is an abundant number, since it is smaller than the sum of its proper divisors (7628999840).

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

3672776800 is a wasteful number, since it uses less digits than its factorization.

3672776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The square root of 3672776800 is about 60603.4388463229. The cubic root of 3672776800 is about 1542.8777360240.

The spelling of 3672776800 in words is "three billion, six hundred seventy-two million, seven hundred seventy-six thousand, eight hundred".