3672481200 has 240 divisors, whose sum is σ = 12018281376. Its totient is φ = 958464000.

The previous prime is 3672481193. The next prime is 3672481237. The reversal of 3672481200 is 21842763.

It is a Cunningham number, because it is equal to 60601²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19028304 + ... + 19028496.

Almost surely, 2^3672481200 is an apocalyptic number.

3672481200 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 3672481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6009140688).

3672481200 is an abundant number, since it is smaller than the sum of its proper divisors (8345800176).

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

3672481200 is a wasteful number, since it uses less digits than its factorization.

3672481200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3672481200 is about 60600.9999917493. Note that the first 5 decimals coincide. The cubic root of 3672481200 is about 1542.8363425571.

The spelling of 3672481200 in words is "three billion, six hundred seventy-two million, four hundred eighty-one thousand, two hundred".