3606457406400 has 126 divisors (see below), whose sum is σ = 12818201198192. Its totient is φ = 961721971200.

The previous prime is 3606457406393. The next prime is 3606457406407. The reversal of 3606457406400 is 46047546063.

It is a happy number.

3606457406400 is a `hidden beast` number, since 36 + 0 + 6 + 4 + 574 + 0 + 6 + 40 + 0 = 666.

3606457406400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3606457406393) and next prime (3606457406407).

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 (3606457406407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125209816 + ... + 125238615.

Almost surely, 2^{3606457406400} is an apocalyptic number.

3606457406400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3606457406400 is an abundant number, since it is smaller than the sum of its proper divisors (9211743791792).

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

3606457406400 is a wasteful number, since it uses less digits than its factorization.

3606457406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250448459 (or 250448441 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3606457406400 in words is "three trillion, six hundred six billion, four hundred fifty-seven million, four hundred six thousand, four hundred".