3604581162000 has 3200 divisors, whose sum is σ = 17883865359360. Its totient is φ = 677221171200.

The previous prime is 3604581161989. The next prime is 3604581162041. The reversal of 3604581162000 is 2611854063.

It is a happy number.

3604581162000 is a `hidden beast` number, since 3 + 60 + 4 + 581 + 16 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4761665622 + ... + 4761666378.

Almost surely, 2^{3604581162000} is an apocalyptic number.

3604581162000 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 3604581162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941932679680).

3604581162000 is an abundant number, since it is smaller than the sum of its proper divisors (14279284197360).

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

3604581162000 is a wasteful number, since it uses less digits than its factorization.

3604581162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3604581162000 in words is "three trillion, six hundred four billion, five hundred eighty-one million, one hundred sixty-two thousand".