3741724800 has 768 divisors, whose sum is σ = 15541862400. Its totient is φ = 870912000.

The previous prime is 3741724799. The next prime is 3741724843. The reversal of 3741724800 is 84271473.

It is a happy number.

3741724800 is a `hidden beast` number, since 3 + 7 + 4 + 172 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29462337 + ... + 29462463.

It is an arithmetic number, because the mean of its divisors is an integer number (20236800).

Almost surely, 2^3741724800 is an apocalyptic number.

3741724800 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 3741724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770931200).

3741724800 is an abundant number, since it is smaller than the sum of its proper divisors (11800137600).

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

3741724800 is a wasteful number, since it uses less digits than its factorization.

3741724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3741724800 is about 61169.6395281188. The cubic root of 3741724800 is about 1552.4726126467.

The spelling of 3741724800 in words is "three billion, seven hundred forty-one million, seven hundred twenty-four thousand, eight hundred".