3623951845440 has 392 divisors, whose sum is σ = 12947534948160. Its totient is φ = 965703803904.

The previous prime is 3623951845309. The next prime is 3623951845447. The reversal of 3623951845440 is 445481593263.

It is a happy number.

3623951845440 is a `hidden beast` number, since 3 + 6 + 2 + 3 + 95 + 1 + 8 + 4 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3623951845447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 388873101 + ... + 388882419.

Almost surely, 2^{3623951845440} is an apocalyptic number.

3623951845440 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 3623951845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473767474080).

3623951845440 is an abundant number, since it is smaller than the sum of its proper divisors (9323583102720).

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

3623951845440 is an equidigital number, since it uses as much as digits as its factorization.

3623951845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 10996 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3623951845440 in words is "three trillion, six hundred twenty-three billion, nine hundred fifty-one million, eight hundred forty-five thousand, four hundred forty".