3724801200 has 180 divisors, whose sum is σ = 13405188888. Its totient is φ = 993254400.

The previous prime is 3724801177. The next prime is 3724801229. The reversal of 3724801200 is 21084273.

3724801200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78040 + ... + 116360.

Almost surely, 2^3724801200 is an apocalyptic number.

3724801200 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 3724801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702594444).

3724801200 is an abundant number, since it is smaller than the sum of its proper divisors (9680387688).

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

3724801200 is a wasteful number, since it uses less digits than its factorization.

3724801200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38354 (or 38331 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3724801200 is about 61031.1494238803. The cubic root of 3724801200 is about 1550.1284943771.

Adding to 3724801200 its reverse (21084273), we get a palindrome (3745885473).

It can be divided in two parts, 372480 and 1200, that added together give a triangular number (373680 = T₈₆₄).

The spelling of 3724801200 in words is "three billion, seven hundred twenty-four million, eight hundred one thousand, two hundred".