3964063545600 has 864 divisors, whose sum is σ = 14058900172800. Its totient is φ = 981425356800.

The previous prime is 3964063545593. The next prime is 3964063545601. The reversal of 3964063545600 is 65453604693.

It is not an unprimeable number, because it can be changed into a prime (3964063545601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3089682559 + ... + 3089683841.

It is an arithmetic number, because the mean of its divisors is an integer number (16271875200).

Almost surely, 2^{3964063545600} is an apocalyptic number.

3964063545600 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 3964063545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029450086400).

3964063545600 is an abundant number, since it is smaller than the sum of its proper divisors (10094836627200).

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

3964063545600 is a wasteful number, since it uses less digits than its factorization.

3964063545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 51.

The spelling of 3964063545600 in words is "three trillion, nine hundred sixty-four billion, sixty-three million, five hundred forty-five thousand, six hundred".