3643463255040 has 1320 divisors, whose sum is σ = 15561712521432. Its totient is φ = 812293816320.

The previous prime is 3643463254979. The next prime is 3643463255063. The reversal of 3643463255040 is 405523643463.

3643463255040 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 4 + 632 + 5 + 5 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21658420224 + 3621804834816 = 147168^2 + 1903104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 833170294 + ... + 833174666.

Almost surely, 2^{3643463255040} is an apocalyptic number.

3643463255040 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 3643463255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780856260716).

3643463255040 is an abundant number, since it is smaller than the sum of its proper divisors (11918249266392).

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

3643463255040 is a wasteful number, since it uses less digits than its factorization.

3643463255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 3643463255040 in words is "three trillion, six hundred forty-three billion, four hundred sixty-three million, two hundred fifty-five thousand, forty".