3646801620000 has 2880 divisors, whose sum is σ = 17183671464960. Its totient is φ = 711244800000.

The previous prime is 3646801619987. The next prime is 3646801620079. The reversal of 3646801620000 is 261086463.

3646801620000 is a `hidden beast` number, since 3 + 646 + 8 + 0 + 1 + 6 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 17283419895 + ... + 17283420105.

It is an arithmetic number, because the mean of its divisors is an integer number (5966552592).

Almost surely, 2^{3646801620000} is an apocalyptic number.

3646801620000 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 3646801620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8591835732480).

3646801620000 is an abundant number, since it is smaller than the sum of its proper divisors (13536869844960).

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

3646801620000 is a wasteful number, since it uses less digits than its factorization.

3646801620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3646801620000 in words is "three trillion, six hundred forty-six billion, eight hundred one million, six hundred twenty thousand".