3605432082000 has 320 divisors, whose sum is σ = 13303804121088. Its totient is φ = 822899520000.

The previous prime is 3605432081983. The next prime is 3605432082019. The reversal of 3605432082000 is 2802345063.

It is a happy number.

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, 28959885 + ... + 29084115.

Almost surely, 2^{3605432082000} is an apocalyptic number.

3605432082000 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 3605432082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651902060544).

3605432082000 is an abundant number, since it is smaller than the sum of its proper divisors (9698372039088).

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

3605432082000 is a wasteful number, since it uses less digits than its factorization.

3605432082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124955 (or 124939 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 3605432082000 in words is "three trillion, six hundred five billion, four hundred thirty-two million, eighty-two thousand".