3661028800 has 168 divisors, whose sum is σ = 10583978832. Its totient is φ = 1228800000.

The previous prime is 3661028797. The next prime is 3661028809. The reversal of 3661028800 is 88201663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661028809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220800 + ... + 236800.

It is an arithmetic number, because the mean of its divisors is an integer number (62999874).

Almost surely, 2^3661028800 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 3661028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291989416).

3661028800 is an abundant number, since it is smaller than the sum of its proper divisors (6922950032).

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

3661028800 is a wasteful number, since it uses less digits than its factorization.

3661028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16047 (or 16032 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 3661028800 is about 60506.4360213027. The cubic root of 3661028800 is about 1541.2309268004.

It can be divided in two parts, 366102 and 8800, that multiplied together give a square (3221697600 = 56760²).

The spelling of 3661028800 in words is "three billion, six hundred sixty-one million, twenty-eight thousand, eight hundred".