3964674008295 has 1440 divisors, whose sum is σ = 10740611363328. Its totient is φ = 1379524608000.

The previous prime is 3964674008291. The next prime is 3964674008327. The reversal of 3964674008295 is 5928004764693.

3964674008295 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 67 + 400 + 82 + 95 = 666.

It is not a de Polignac number, because 3964674008295 - 2² = 3964674008291 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964674008291) by changing a digit.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 16450929375 + ... + 16450929615.

Almost surely, 2^{3964674008295} is an apocalyptic number.

3964674008295 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3964674008295 is an abundant number, since it is smaller than the sum of its proper divisors (6775937355033).

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

3964674008295 is a wasteful number, since it uses less digits than its factorization.

3964674008295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3964674008295 in words is "three trillion, nine hundred sixty-four billion, six hundred seventy-four million, eight thousand, two hundred ninety-five".