3604235673600 has 1008 divisors, whose sum is σ = 13742921490480. Its totient is φ = 900307353600.

The previous prime is 3604235673589. The next prime is 3604235673607. The reversal of 3604235673600 is 63765324063.

3604235673600 is a `hidden beast` number, since 3 + 6 + 0 + 4 + 2 + 35 + 6 + 7 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3604235673607) 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, 3397017070 + ... + 3397018130.

It is an arithmetic number, because the mean of its divisors is an integer number (13633850685).

Almost surely, 2^{3604235673600} is an apocalyptic number.

3604235673600 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 3604235673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871460745240).

3604235673600 is an abundant number, since it is smaller than the sum of its proper divisors (10138685816880).

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

3604235673600 is a wasteful number, since it uses less digits than its factorization.

3604235673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 3604235673600 in words is "three trillion, six hundred four billion, two hundred thirty-five million, six hundred seventy-three thousand, six hundred".