3729672000 has 448 divisors, whose sum is σ = 14150522880. Its totient is φ = 960768000.

The previous prime is 3729671993. The next prime is 3729672029. The reversal of 3729672000 is 2769273.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6695722 + ... + 6696278.

Almost surely, 2^3729672000 is an apocalyptic number.

3729672000 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 3729672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075261440).

3729672000 is an abundant number, since it is smaller than the sum of its proper divisors (10420850880).

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

3729672000 is a wasteful number, since it uses less digits than its factorization.

3729672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3729672000 is about 61071.0406002714. The cubic root of 3729672000 is about 1550.8038840809.

The spelling of 3729672000 in words is "three billion, seven hundred twenty-nine million, six hundred seventy-two thousand".