3975354279936 has 1152 divisors, whose sum is σ = 13800719761920. Its totient is φ = 1089994752000.

The previous prime is 3975354279917. The next prime is 3975354279977. The reversal of 3975354279936 is 6399724535793.

3975354279936 is a `hidden beast` number, since 3 + 9 + 7 + 5 + 3 + 542 + 79 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1157360400) is a multiple of the sum of its prime divisors (490).

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, 14147168116 + ... + 14147168396.

It is an arithmetic number, because the mean of its divisors is an integer number (11979791460).

Almost surely, 2^{3975354279936} is an apocalyptic number.

3975354279936 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 3975354279936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900359880960).

3975354279936 is an abundant number, since it is smaller than the sum of its proper divisors (9825365481984).

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

3975354279936 is a wasteful number, since it uses less digits than its factorization.

3975354279936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 490 counting only the distinct ones).

The product of its digits is 1157360400, while the sum is 72.

The spelling of 3975354279936 in words is "three trillion, nine hundred seventy-five billion, three hundred fifty-four million, two hundred seventy-nine thousand, nine hundred thirty-six".