3416006706840 has 1024 divisors, whose sum is σ = 14290601472000. Its totient is φ = 706603253760.

The previous prime is 3416006706823. The next prime is 3416006706869. The reversal of 3416006706840 is 486076006143.

It is a happy number.

3416006706840 is a `hidden beast` number, since 34 + 1 + 600 + 6 + 7 + 0 + 6 + 8 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3345745530 + ... + 3345746550.

It is an arithmetic number, because the mean of its divisors is an integer number (13955665500).

Almost surely, 2^{3416006706840} is an apocalyptic number.

3416006706840 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 3416006706840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145300736000).

3416006706840 is an abundant number, since it is smaller than the sum of its proper divisors (10874594765160).

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

3416006706840 is a wasteful number, since it uses less digits than its factorization.

3416006706840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3416006706840 in words is "three trillion, four hundred sixteen billion, six million, seven hundred six thousand, eight hundred forty".