3669862464000 has 2400 divisors, whose sum is σ = 15096905428176. Its totient is φ = 885045657600.

The previous prime is 3669862463989. The next prime is 3669862464017. The reversal of 3669862464000 is 4642689663.

3669862464000 is a `hidden beast` number, since 3 + 6 + 6 + 9 + 8 + 624 + 6 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 911765258496 + 2758097205504 = 954864^2 + 1660752^2 .

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 69242687974 + ... + 69242688026.

Almost surely, 2^{3669862464000} is an apocalyptic number.

3669862464000 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 3669862464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548452714088).

3669862464000 is an abundant number, since it is smaller than the sum of its proper divisors (11427042964176).

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

3669862464000 is an equidigital number, since it uses as much as digits as its factorization.

3669862464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3669862464000 in words is "three trillion, six hundred sixty-nine billion, eight hundred sixty-two million, four hundred sixty-four thousand".