3802930560000 has 3520 divisors, whose sum is σ = 17619030105600. Its totient is φ = 806215680000.

The previous prime is 3802930559993. The next prime is 3802930560041. The reversal of 3802930560000 is 650392083.

3802930560000 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 93 + 0 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 200154239991 + ... + 200154240009.

It is an arithmetic number, because the mean of its divisors is an integer number (5005406280).

Almost surely, 2^{3802930560000} is an apocalyptic number.

3802930560000 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 3802930560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809515052800).

3802930560000 is an abundant number, since it is smaller than the sum of its proper divisors (13816099545600).

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

3802930560000 is an equidigital number, since it uses as much as digits as its factorization.

3802930560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3802930560000 in words is "three trillion, eight hundred two billion, nine hundred thirty million, five hundred sixty thousand".