3613465205000 has 160 divisors (see below), whose sum is σ = 9701126645760. Its totient is φ = 1235663040000.

The previous prime is 3613465204991. The next prime is 3613465205033. The reversal of 3613465205000 is 5025643163.

It is a super-3 number, since 3×3613465205000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13270220 + ... + 13539780.

It is an arithmetic number, because the mean of its divisors is an integer number (60632041536).

Almost surely, 2^{3613465205000} 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 3613465205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850563322880).

3613465205000 is an abundant number, since it is smaller than the sum of its proper divisors (6087661440760).

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

3613465205000 is a wasteful number, since it uses less digits than its factorization.

3613465205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269977 (or 269958 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 3613465205000 in words is "three trillion, six hundred thirteen billion, four hundred sixty-five million, two hundred five thousand".