3646808412240 has 960 divisors, whose sum is σ = 14055015421440. Its totient is φ = 765208166400.

The previous prime is 3646808412193. The next prime is 3646808412337. The reversal of 3646808412240 is 422148086463.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3646808412240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2449165416 + ... + 2449166904.

It is an arithmetic number, because the mean of its divisors is an integer number (14640641064).

Almost surely, 2^{3646808412240} is an apocalyptic number.

3646808412240 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 3646808412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027507710720).

3646808412240 is an abundant number, since it is smaller than the sum of its proper divisors (10408207009200).

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

3646808412240 is a wasteful number, since it uses less digits than its factorization.

3646808412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 3646808412240 in words is "three trillion, six hundred forty-six billion, eight hundred eight million, four hundred twelve thousand, two hundred forty".