3724289712000 has 3072 divisors, whose sum is σ = 17110720972800. Its totient is φ = 784816128000.

The previous prime is 3724289711969. The next prime is 3724289712037. The reversal of 3724289712000 is 2179824273.

3724289712000 is a `hidden beast` number, since 372 + 4 + 2 + 8 + 9 + 71 + 200 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 22301135917 + ... + 22301136083.

It is an arithmetic number, because the mean of its divisors is an integer number (5569896150).

Almost surely, 2^{3724289712000} is an apocalyptic number.

3724289712000 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 3724289712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555360486400).

3724289712000 is an abundant number, since it is smaller than the sum of its proper divisors (13386431260800).

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

3724289712000 is a wasteful number, since it uses less digits than its factorization.

3724289712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 3724289712000 in words is "three trillion, seven hundred twenty-four billion, two hundred eighty-nine million, seven hundred twelve thousand".