3729448800 has 972 divisors, whose sum is σ = 17244513468. Its totient is φ = 749952000.

The previous prime is 3729448787. The next prime is 3729448861. The reversal of 3729448800 is 88449273.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 120304785 + ... + 120304815.

It is an arithmetic number, because the mean of its divisors is an integer number (17741269).

Almost surely, 2^3729448800 is an apocalyptic number.

3729448800 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 3729448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622256734).

3729448800 is an abundant number, since it is smaller than the sum of its proper divisors (13515064668).

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

3729448800 is a wasteful number, since it uses less digits than its factorization.

3729448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3729448800 is about 61069.2131929011. The cubic root of 3729448800 is about 1550.7729478187.

The spelling of 3729448800 in words is "three billion, seven hundred twenty-nine million, four hundred forty-eight thousand, eight hundred".