3803621973648 has 320 divisors, whose sum is σ = 11865397708800. Its totient is φ = 1025674997760.

The previous prime is 3803621973623. The next prime is 3803621973719. The reversal of 3803621973648 is 8463791263083.

3803621973648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3803621973591 and 3803621973600.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2950830988 + ... + 2950832276.

It is an arithmetic number, because the mean of its divisors is an integer number (37079367840).

Almost surely, 2^{3803621973648} is an apocalyptic number.

3803621973648 is a gapful number since it is divisible by the number (38) 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 3803621973648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932698854400).

3803621973648 is an abundant number, since it is smaller than the sum of its proper divisors (8061775735152).

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

3803621973648 is a wasteful number, since it uses less digits than its factorization.

3803621973648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 3803621973648 in words is "three trillion, eight hundred three billion, six hundred twenty-one million, nine hundred seventy-three thousand, six hundred forty-eight".