3723645219840 has 2464 divisors, whose sum is σ = 17380613886720. Its totient is φ = 743008370688.

The previous prime is 3723645219793. The next prime is 3723645219841. The reversal of 3723645219840 is 489125463273.

3723645219840 is a `hidden beast` number, since 3 + 7 + 2 + 36 + 4 + 521 + 9 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3723645219841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6453457632 + ... + 6453458208.

It is a 1-persistent number, because it is pandigital, but 2⋅3723645219840 = 7447290439680 is not.

Almost surely, 2^{3723645219840} is an apocalyptic number.

3723645219840 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 3723645219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690306943360).

3723645219840 is an abundant number, since it is smaller than the sum of its proper divisors (13656968666880).

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

3723645219840 is a wasteful number, since it uses less digits than its factorization.

3723645219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3723645219840 in words is "three trillion, seven hundred twenty-three billion, six hundred forty-five million, two hundred nineteen thousand, eight hundred forty".