3643701969120 has 384 divisors, whose sum is σ = 11688649297920. Its totient is φ = 953994240000.

The previous prime is 3643701969091. The next prime is 3643701969137. The reversal of 3643701969120 is 219691073463.

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 63 ways as a sum of consecutive naturals, for example, 3534143005 + ... + 3534144035.

It is an arithmetic number, because the mean of its divisors is an integer number (30439190880).

Almost surely, 2^{3643701969120} is an apocalyptic number.

3643701969120 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 3643701969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844324648960).

3643701969120 is an abundant number, since it is smaller than the sum of its proper divisors (8044947328800).

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

3643701969120 is a wasteful number, since it uses less digits than its factorization.

3643701969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 3643701969120 in words is "three trillion, six hundred forty-three billion, seven hundred one million, nine hundred sixty-nine thousand, one hundred twenty".