3642109632000 has 1440 divisors, whose sum is σ = 15620027870304. Its totient is φ = 812851200000.

The previous prime is 3642109631977. The next prime is 3642109632013. The reversal of 3642109632000 is 2369012463.

3642109632000 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 10 + 9 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1213630500 + ... + 1213633500.

Almost surely, 2^{3642109632000} is an apocalyptic number.

3642109632000 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 3642109632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810013935152).

3642109632000 is an abundant number, since it is smaller than the sum of its proper divisors (11977918238304).

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

3642109632000 is a wasteful number, since it uses less digits than its factorization.

3642109632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3642109632000 in words is "three trillion, six hundred forty-two billion, one hundred nine million, six hundred thirty-two thousand".