3724630191360 has 1728 divisors, whose sum is σ = 14926508513280. Its totient is φ = 850856509440.

The previous prime is 3724630191349. The next prime is 3724630191361. The reversal of 3724630191360 is 631910364273.

3724630191360 is a `hidden beast` number, since 3 + 7 + 2 + 4 + 630 + 1 + 9 + 1 + 3 + 6 + 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 not an unprimeable number, because it can be changed into a prime (3724630191361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14492724352 + ... + 14492724608.

It is an arithmetic number, because the mean of its divisors is an integer number (8638025760).

Almost surely, 2^{3724630191360} is an apocalyptic number.

3724630191360 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 3724630191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463254256640).

3724630191360 is an abundant number, since it is smaller than the sum of its proper divisors (11201878321920).

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

3724630191360 is a wasteful number, since it uses less digits than its factorization.

3724630191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3724630191360 in words is "three trillion, seven hundred twenty-four billion, six hundred thirty million, one hundred ninety-one thousand, three hundred sixty".