3416728040352 has 768 divisors, whose sum is σ = 11432548915200. Its totient is φ = 983255777280.

The previous prime is 3416728040351. The next prime is 3416728040371. The reversal of 3416728040352 is 2530408276143.

3416728040352 is a `hidden beast` number, since 3 + 4 + 16 + 7 + 280 + 4 + 0 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3416728040298 and 3416728040307.

It is not an unprimeable number, because it can be changed into a prime (3416728040351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6068788423 + ... + 6068788985.

It is an arithmetic number, because the mean of its divisors is an integer number (14886131400).

Almost surely, 2^{3416728040352} is an apocalyptic number.

3416728040352 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 3416728040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716274457600).

3416728040352 is an abundant number, since it is smaller than the sum of its proper divisors (8015820874848).

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

3416728040352 is a wasteful number, since it uses less digits than its factorization.

3416728040352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3416728040352 in words is "three trillion, four hundred sixteen billion, seven hundred twenty-eight million, forty thousand, three hundred fifty-two".