3407855616 has 270 divisors, whose sum is σ = 10877595456. Its totient is φ = 1027276800.

The previous prime is 3407855611. The next prime is 3407855621. The reversal of 3407855616 is 6165587043.

3407855616 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 85 + 561 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3407855611) and next prime (3407855621).

It is a super-2 number, since 2×3407855616² = 23226959799005478912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407855611) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17842081 + ... + 17842271.

Almost surely, 2^3407855616 is an apocalyptic number.

3407855616 is a gapful number since it is divisible by the number (36) 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 3407855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438797728).

3407855616 is an abundant number, since it is smaller than the sum of its proper divisors (7469739840).

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

3407855616 is a wasteful number, since it uses less digits than its factorization.

3407855616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3407855616 is about 58376.8414356241. The cubic root of 3407855616 is about 1504.8517885121.

The spelling of 3407855616 in words is "three billion, four hundred seven million, eight hundred fifty-five thousand, six hundred sixteen".