3729473818200 has 576 divisors, whose sum is σ = 13588156239840. Its totient is φ = 911252643840.

The previous prime is 3729473818181. The next prime is 3729473818201. The reversal of 3729473818200 is 28183749273.

3729473818200 is a `hidden beast` number, since 3 + 7 + 294 + 73 + 81 + 8 + 200 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729473818201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2164522539 + ... + 2164524261.

Almost surely, 2^{3729473818200} is an apocalyptic number.

3729473818200 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 3729473818200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794078119920).

3729473818200 is an abundant number, since it is smaller than the sum of its proper divisors (9858682421640).

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

3729473818200 is a wasteful number, since it uses less digits than its factorization.

3729473818200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3729473818200 in words is "three trillion, seven hundred twenty-nine billion, four hundred seventy-three million, eight hundred eighteen thousand, two hundred".