3606573038400 has 672 divisors, whose sum is σ = 14653388016000. Its totient is φ = 857534791680.

The previous prime is 3606573038389. The next prime is 3606573038437. The reversal of 3606573038400 is 48303756063.

3606573038400 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 573 + 0 + 38 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13824366 + ... + 14082834.

Almost surely, 2^{3606573038400} is an apocalyptic number.

3606573038400 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 3606573038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326694008000).

3606573038400 is an abundant number, since it is smaller than the sum of its proper divisors (11046814977600).

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

3606573038400 is a wasteful number, since it uses less digits than its factorization.

3606573038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258536 (or 258515 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3606573038400 in words is "three trillion, six hundred six billion, five hundred seventy-three million, thirty-eight thousand, four hundred".