3652358805504 has 768 divisors, whose sum is σ = 11861950464000. Its totient is φ = 1106127912960.

The previous prime is 3652358805499. The next prime is 3652358805559. The reversal of 3652358805504 is 4055088532563.

It is a happy number.

3652358805504 is a `hidden beast` number, since 3 + 6 + 5 + 2 + 3 + 5 + 8 + 80 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4136306247 + ... + 4136307129.

It is an arithmetic number, because the mean of its divisors is an integer number (15445248000).

Almost surely, 2^{3652358805504} 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 3652358805504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930975232000).

3652358805504 is an abundant number, since it is smaller than the sum of its proper divisors (8209591658496).

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

3652358805504 is a wasteful number, since it uses less digits than its factorization.

3652358805504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 3652358805504 in words is "three trillion, six hundred fifty-two billion, three hundred fifty-eight million, eight hundred five thousand, five hundred four".