3817046016 has 288 divisors, whose sum is σ = 12902006520. Its totient is φ = 1065222144.

The previous prime is 3817045963. The next prime is 3817046041. The reversal of 3817046016 is 6106407183.

3817046016 is a `hidden beast` number, since 38 + 17 + 0 + 4 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3817046016² = 29139680576522944512, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88768491 + ... + 88768533.

Almost surely, 2^3817046016 is an apocalyptic number.

3817046016 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 3817046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451003260).

3817046016 is an abundant number, since it is smaller than the sum of its proper divisors (9084960504).

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

3817046016 is an frugal number, since it uses more digits than its factorization.

3817046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3817046016 is about 61782.2467704113. The cubic root of 3817046016 is about 1562.8206169244.

The spelling of 3817046016 in words is "three billion, eight hundred seventeen million, forty-six thousand, sixteen".