3660677420400 has 3600 divisors, whose sum is σ = 18402061748224. Its totient is φ = 677445120000.

The previous prime is 3660677420363. The next prime is 3660677420473. The reversal of 3660677420400 is 40247760663.

3660677420400 is a `hidden beast` number, since 36 + 606 + 7 + 7 + 4 + 2 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 11059448235 + ... + 11059448565.

Almost surely, 2^{3660677420400} is an apocalyptic number.

3660677420400 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 3660677420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9201030874112).

3660677420400 is an abundant number, since it is smaller than the sum of its proper divisors (14741384327824).

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

3660677420400 is a wasteful number, since it uses less digits than its factorization.

3660677420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3660677420400 in words is "three trillion, six hundred sixty billion, six hundred seventy-seven million, four hundred twenty thousand, four hundred".