3784799394432 has 2304 divisors, whose sum is σ = 14879253916800. Its totient is φ = 914109235200.

The previous prime is 3784799394427. The next prime is 3784799394479. The reversal of 3784799394432 is 2344939974873.

3784799394432 is a `hidden beast` number, since 3 + 7 + 84 + 79 + 9 + 39 + 443 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45599992663 + ... + 45599992745.

Almost surely, 2^{3784799394432} is an apocalyptic number.

3784799394432 is a gapful number since it is divisible by the number (32) 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 3784799394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439626958400).

3784799394432 is an abundant number, since it is smaller than the sum of its proper divisors (11094454522368).

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

3784799394432 is a wasteful number, since it uses less digits than its factorization.

3784799394432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 72.

The spelling of 3784799394432 in words is "three trillion, seven hundred eighty-four billion, seven hundred ninety-nine million, three hundred ninety-four thousand, four hundred thirty-two".