3643406807040 has 3744 divisors, whose sum is σ = 17958656102400. Its totient is φ = 676292198400.

The previous prime is 3643406807039. The next prime is 3643406807069. The reversal of 3643406807040 is 407086043463.

3643406807040 is a `hidden beast` number, since 3 + 64 + 3 + 406 + 80 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 117529251825 + ... + 117529251855.

It is an arithmetic number, because the mean of its divisors is an integer number (4796649600).

Almost surely, 2^{3643406807040} is an apocalyptic number.

3643406807040 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 3643406807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979328051200).

3643406807040 is an abundant number, since it is smaller than the sum of its proper divisors (14315249295360).

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

3643406807040 is a wasteful number, since it uses less digits than its factorization.

3643406807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3643406807040 in words is "three trillion, six hundred forty-three billion, four hundred six million, eight hundred seven thousand, forty".