3830074087680 has 1008 divisors, whose sum is σ = 14543938920000. Its totient is φ = 963266494464.

The previous prime is 3830074087649. The next prime is 3830074087687. The reversal of 3830074087680 is 867804700383.

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

It is not an unprimeable number, because it can be changed into a prime (3830074087687) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6187518411 + ... + 6187519029.

Almost surely, 2^{3830074087680} is an apocalyptic number.

3830074087680 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 3830074087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271969460000).

3830074087680 is an abundant number, since it is smaller than the sum of its proper divisors (10713864832320).

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

3830074087680 is an equidigital number, since it uses as much as digits as its factorization.

3830074087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3830074087680 in words is "three trillion, eight hundred thirty billion, seventy-four million, eighty-seven thousand, six hundred eighty".