3243787223040 has 2720 divisors, whose sum is σ = 15347009018880. Its totient is φ = 635990704128.

The previous prime is 3243787222969. The next prime is 3243787223087. The reversal of 3243787223040 is 403227873423.

3243787223040 is a `hidden beast` number, since 3 + 2 + 4 + 378 + 7 + 2 + 230 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 41060597721 + ... + 41060597799.

Almost surely, 2^{3243787223040} is an apocalyptic number.

3243787223040 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 3243787223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673504509440).

3243787223040 is an abundant number, since it is smaller than the sum of its proper divisors (12103221795840).

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

3243787223040 is an equidigital number, since it uses as much as digits as its factorization.

3243787223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 3243787223040 in words is "three trillion, two hundred forty-three billion, seven hundred eighty-seven million, two hundred twenty-three thousand, forty".