3416127640 has 16 divisors (see below), whose sum is σ = 7686287280. Its totient is φ = 1366451040.

The previous prime is 3416127623. The next prime is 3416127643. The reversal of 3416127640 is 467216143.

It is a super-3 number, since 3×3416127640³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3416127596 and 3416127605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416127643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42701556 + ... + 42701635.

It is an arithmetic number, because the mean of its divisors is an integer number (480392955).

Almost surely, 2^3416127640 is an apocalyptic number.

It is an amenable number.

3416127640 is an abundant number, since it is smaller than the sum of its proper divisors (4270159640).

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

3416127640 is a wasteful number, since it uses less digits than its factorization.

3416127640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85403202 (or 85403198 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3416127640 is about 58447.6487123306. The cubic root of 3416127640 is about 1506.0684002755.

The spelling of 3416127640 in words is "three billion, four hundred sixteen million, one hundred twenty-seven thousand, six hundred forty".