3638948302080 has 1440 divisors, whose sum is σ = 16080017184000. Its totient is φ = 765176315904.

The previous prime is 3638948302063. The next prime is 3638948302147. The reversal of 3638948302080 is 802038498363.

It is a happy number.

3638948302080 is a `hidden beast` number, since 3 + 6 + 3 + 89 + 483 + 0 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

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, 4236260691 + ... + 4236261549.

It is an arithmetic number, because the mean of its divisors is an integer number (11166678600).

Almost surely, 2^{3638948302080} is an apocalyptic number.

3638948302080 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 3638948302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8040008592000).

3638948302080 is an abundant number, since it is smaller than the sum of its proper divisors (12441068881920).

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

3638948302080 is a wasteful number, since it uses less digits than its factorization.

3638948302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

It can be divided in two parts, 3638948 and 302080, that added together give a triangular number (3941028 = T₂₈₀₇).

The spelling of 3638948302080 in words is "three trillion, six hundred thirty-eight billion, nine hundred forty-eight million, three hundred two thousand, eighty".