3416720233680 has 400 divisors, whose sum is σ = 13452221502720. Its totient is φ = 796773252096.

The previous prime is 3416720233643. The next prime is 3416720233721. The reversal of 3416720233680 is 863320276143.

3416720233680 is a `hidden beast` number, since 34 + 1 + 6 + 7 + 202 + 336 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 533209 + ... + 2667911.

Almost surely, 2^{3416720233680} is an apocalyptic number.

3416720233680 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 3416720233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726110751360).

3416720233680 is an abundant number, since it is smaller than the sum of its proper divisors (10035501269040).

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

3416720233680 is a wasteful number, since it uses less digits than its factorization.

3416720233680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134760 (or 2134745 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3416720233680 in words is "three trillion, four hundred sixteen billion, seven hundred twenty million, two hundred thirty-three thousand, six hundred eighty".