3724985117952 has 648 divisors, whose sum is σ = 13403336637600. Its totient is φ = 1027557715968.

The previous prime is 3724985117927. The next prime is 3724985118013. The reversal of 3724985117952 is 2597115894273.

It is a happy number.

3724985117952 is a `hidden beast` number, since 3 + 7 + 2 + 49 + 8 + 511 + 79 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3724985117952.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 88376499 + ... + 88418637.

Almost surely, 2^{3724985117952} is an apocalyptic number.

3724985117952 is a gapful number since it is divisible by the number (32) 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 3724985117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701668318800).

3724985117952 is an abundant number, since it is smaller than the sum of its proper divisors (9678351519648).

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

3724985117952 is an equidigital number, since it uses as much as digits as its factorization.

3724985117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42213 (or 42180 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 3724985117952 in words is "three trillion, seven hundred twenty-four billion, nine hundred eighty-five million, one hundred seventeen thousand, nine hundred fifty-two".