3616006464 has 168 divisors, whose sum is σ = 11890898240. Its totient is φ = 1029169152.

The previous prime is 3616006447. The next prime is 3616006481. The reversal of 3616006464 is 4646006163.

3616006464 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 0 + 0 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3616006447) and next prime (3616006481).

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 1139472 + ... + 1142640.

Almost surely, 2^3616006464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3616006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945449120).

3616006464 is an abundant number, since it is smaller than the sum of its proper divisors (8274891776).

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

3616006464 is a wasteful number, since it uses less digits than its factorization.

3616006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3616006464 is about 60133.2392608281. The cubic root of 3616006464 is about 1534.8869703543.

The spelling of 3616006464 in words is "three billion, six hundred sixteen million, six thousand, four hundred sixty-four".