3652511037552 has 320 divisors, whose sum is σ = 11368509035520. Its totient is φ = 1116104832000.

The previous prime is 3652511037533. The next prime is 3652511037559. The reversal of 3652511037552 is 2557301152563.

3652511037552 is a `hidden beast` number, since 3 + 6 + 5 + 2 + 51 + 10 + 37 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3652511037498 and 3652511037507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3652511037559) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 901629927 + ... + 901633977.

It is an arithmetic number, because the mean of its divisors is an integer number (35526590736).

Almost surely, 2^{3652511037552} 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 3652511037552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684254517760).

3652511037552 is an abundant number, since it is smaller than the sum of its proper divisors (7715997997968).

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

3652511037552 is a wasteful number, since it uses less digits than its factorization.

3652511037552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 3652511037552 in words is "three trillion, six hundred fifty-two billion, five hundred eleven million, thirty-seven thousand, five hundred fifty-two".