3621815549352 has 864 divisors, whose sum is σ = 13569790164840. Its totient is φ = 864331776000.

The previous prime is 3621815549351. The next prime is 3621815549377. The reversal of 3621815549352 is 2539455181263.

3621815549352 is a `hidden beast` number, since 3 + 6 + 2 + 1 + 81 + 554 + 9 + 3 + 5 + 2 = 666.

3621815549352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1968672772836 + 1653142776516 = 1403094^2 + 1285746^2 .

It is not an unprimeable number, because it can be changed into a prime (3621815549351) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1293042352 + ... + 1293045152.

Almost surely, 2^{3621815549352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3621815549352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784895082420).

3621815549352 is an abundant number, since it is smaller than the sum of its proper divisors (9947974615488).

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

3621815549352 is a wasteful number, since it uses less digits than its factorization.

3621815549352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3070 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 3621815549352 in words is "three trillion, six hundred twenty-one billion, eight hundred fifteen million, five hundred forty-nine thousand, three hundred fifty-two".