3623490173952 has 440 divisors, whose sum is σ = 12055421664000. Its totient is φ = 1074652323840.

The previous prime is 3623490173917. The next prime is 3623490173959. The reversal of 3623490173952 is 2593710943263.

3623490173952 is a `hidden beast` number, since 3 + 6 + 234 + 9 + 0 + 17 + 395 + 2 = 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 (3623490173959) 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 39 ways as a sum of consecutive naturals, for example, 42839799 + ... + 42924297.

It is an arithmetic number, because the mean of its divisors is an integer number (27398685600).

Almost surely, 2^{3623490173952} is an apocalyptic number.

3623490173952 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 3623490173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027710832000).

3623490173952 is an abundant number, since it is smaller than the sum of its proper divisors (8431931490048).

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

3623490173952 is a wasteful number, since it uses less digits than its factorization.

3623490173952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84589 (or 84562 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 3623490173952 in words is "three trillion, six hundred twenty-three billion, four hundred ninety million, one hundred seventy-three thousand, nine hundred fifty-two".