3652358260320 has 720 divisors, whose sum is σ = 16357378636368. Its totient is φ = 758930135040.

The previous prime is 3652358260301. The next prime is 3652358260423. The reversal of 3652358260320 is 230628532563.

3652358260320 is a `hidden beast` number, since 3 + 6 + 5 + 2 + 3 + 582 + 60 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6724014 + ... + 7246866.

Almost surely, 2^{3652358260320} is an apocalyptic number.

3652358260320 is a gapful number since it is divisible by the number (30) 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 3652358260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178689318184).

3652358260320 is an abundant number, since it is smaller than the sum of its proper divisors (12705020376048).

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

3652358260320 is a wasteful number, since it uses less digits than its factorization.

3652358260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522905 (or 522881 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 3652358260320 in words is "three trillion, six hundred fifty-two billion, three hundred fifty-eight million, two hundred sixty thousand, three hundred twenty".