3803716615104 has 420 divisors, whose sum is σ = 13123228678560. Its totient is φ = 1086201446400.

The previous prime is 3803716615103. The next prime is 3803716615177. The reversal of 3803716615104 is 4015166173083.

3803716615104 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 7 + 16 + 615 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3803716615104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803716615103) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 792273504 + ... + 792278304.

It is an arithmetic number, because the mean of its divisors is an integer number (31245782568).

Almost surely, 2^{3803716615104} 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 3803716615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561614339280).

3803716615104 is an abundant number, since it is smaller than the sum of its proper divisors (9319512063456).

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

3803716615104 is a wasteful number, since it uses less digits than its factorization.

3803716615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3803716615104 in words is "three trillion, eight hundred three billion, seven hundred sixteen million, six hundred fifteen thousand, one hundred four".