3724390395648 has 288 divisors, whose sum is σ = 11931114977600. Its totient is φ = 1145961603072.

The previous prime is 3724390395631. The next prime is 3724390395697. The reversal of 3724390395648 is 8465930934273.

3724390395648 is a `hidden beast` number, since 3 + 7 + 2 + 4 + 39 + 0 + 39 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15063036 + ... + 15308292.

Almost surely, 2^{3724390395648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3724390395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965557488800).

3724390395648 is an abundant number, since it is smaller than the sum of its proper divisors (8206724581952).

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

3724390395648 is an equidigital number, since it uses as much as digits as its factorization.

3724390395648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245321 (or 245275 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 3724390395648 in words is "three trillion, seven hundred twenty-four billion, three hundred ninety million, three hundred ninety-five thousand, six hundred forty-eight".