3964037285376 has 960 divisors, whose sum is σ = 13946374041600. Its totient is φ = 1059904880640.

The previous prime is 3964037285357. The next prime is 3964037285381. The reversal of 3964037285376 is 6735827304693.

3964037285376 is a `hidden beast` number, since 3 + 9 + 6 + 40 + 37 + 28 + 537 + 6 = 666.

It is a super-2 number, since 2×3964037285376² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11358272850 + ... + 11358273198.

It is an arithmetic number, because the mean of its divisors is an integer number (14527472960).

Almost surely, 2^{3964037285376} is an apocalyptic number.

3964037285376 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 3964037285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973187020800).

3964037285376 is an abundant number, since it is smaller than the sum of its proper divisors (9982336756224).

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

3964037285376 is a wasteful number, since it uses less digits than its factorization.

3964037285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 3964037285376 in words is "three trillion, nine hundred sixty-four billion, thirty-seven million, two hundred eighty-five thousand, three hundred seventy-six".