3964549317624 has 256 divisors, whose sum is σ = 12748379673600. Its totient is φ = 1132094776320.

The previous prime is 3964549317587. The next prime is 3964549317653. The reversal of 3964549317624 is 4267139454693.

It is a happy number.

3964549317624 is a `hidden beast` number, since 3 + 9 + 6 + 454 + 9 + 3 + 176 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246283144 + ... + 246299240.

It is an arithmetic number, because the mean of its divisors is an integer number (49798358100).

Almost surely, 2^{3964549317624} 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 3964549317624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374189836800).

3964549317624 is an abundant number, since it is smaller than the sum of its proper divisors (8783830355976).

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

3964549317624 is a wasteful number, since it uses less digits than its factorization.

3964549317624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18142 (or 18120 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 3964549317624 in words is "three trillion, nine hundred sixty-four billion, five hundred forty-nine million, three hundred seventeen thousand, six hundred twenty-four".