3672238800 has 240 divisors, whose sum is σ = 12186095040. Its totient is φ = 944640000.

The previous prime is 3672238781. The next prime is 3672238837. The reversal of 3672238800 is 88322763.

It is a happy number.

It is a Cunningham number, because it is equal to 60599²-1.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4968831 + ... + 4969569.

It is an arithmetic number, because the mean of its divisors is an integer number (50775396).

Almost surely, 2^3672238800 is an apocalyptic number.

3672238800 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 3672238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093047520).

3672238800 is an abundant number, since it is smaller than the sum of its proper divisors (8513856240).

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

3672238800 is a wasteful number, since it uses less digits than its factorization.

3672238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3672238800 is about 60598.9999917490. Note that the first 5 decimals coincide. The cubic root of 3672238800 is about 1542.8023971364.

The spelling of 3672238800 in words is "three billion, six hundred seventy-two million, two hundred thirty-eight thousand, eight hundred".