3417644016 has 100 divisors (see below), whose sum is σ = 9910562112. Its totient is φ = 1137037824.

The previous prime is 3417643987. The next prime is 3417644023. The reversal of 3417644016 is 6104467143.

3417644016 is a `hidden beast` number, since 3 + 4 + 1 + 7 + 644 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 766305 + ... + 770751.

Almost surely, 2^3417644016 is an apocalyptic number.

3417644016 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 3417644016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955281056).

3417644016 is an abundant number, since it is smaller than the sum of its proper divisors (6492918096).

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

3417644016 is a wasteful number, since it uses less digits than its factorization.

3417644016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3417644016 is about 58460.6193603865. The cubic root of 3417644016 is about 1506.2912089045.

The spelling of 3417644016 in words is "three billion, four hundred seventeen million, six hundred forty-four thousand, sixteen".