3968096153940 has 768 divisors, whose sum is σ = 14015877120000. Its totient is φ = 926720040960.

The previous prime is 3968096153933. The next prime is 3968096153947. The reversal of 3968096153940 is 493516908693.

3968096153940 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 0 + 9 + 615 + 3 + 9 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3968096153933) and next prime (3968096153947).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968096153947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2335547211 + ... + 2335548909.

It is an arithmetic number, because the mean of its divisors is an integer number (18249840000).

Almost surely, 2^{3968096153940} is an apocalyptic number.

3968096153940 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 3968096153940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007938560000).

3968096153940 is an abundant number, since it is smaller than the sum of its proper divisors (10047780966060).

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

3968096153940 is a wasteful number, since it uses less digits than its factorization.

3968096153940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 3968096153940 in words is "three trillion, nine hundred sixty-eight billion, ninety-six million, one hundred fifty-three thousand, nine hundred forty".