3365586873600 has 648 divisors, whose sum is σ = 12954531044448. Its totient is φ = 767254118400.

The previous prime is 3365586873589. The next prime is 3365586873601. The reversal of 3365586873600 is 63786855633.

It is a happy number.

It is a super-2 number, since 2×3365586873600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365586873601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 373493095 + ... + 373502105.

Almost surely, 2^{3365586873600} is an apocalyptic number.

3365586873600 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 3365586873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477265522224).

3365586873600 is an abundant number, since it is smaller than the sum of its proper divisors (9588944170848).

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

3365586873600 is a wasteful number, since it uses less digits than its factorization.

3365586873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9451 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 3365586873600 in words is "three trillion, three hundred sixty-five billion, five hundred eighty-six million, eight hundred seventy-three thousand, six hundred".