3968072634240 has 1920 divisors, whose sum is σ = 17233342932960. Its totient is φ = 857773670400.

The previous prime is 3968072634221. The next prime is 3968072634257. The reversal of 3968072634240 is 424362708693.

3968072634240 is a `hidden beast` number, since 3 + 96 + 8 + 0 + 72 + 63 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 7124008042 + ... + 7124008598.

Almost surely, 2^{3968072634240} is an apocalyptic number.

3968072634240 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 3968072634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8616671466480).

3968072634240 is an abundant number, since it is smaller than the sum of its proper divisors (13265270298720).

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

3968072634240 is a wasteful number, since it uses less digits than its factorization.

3968072634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3968072634240 in words is "three trillion, nine hundred sixty-eight billion, seventy-two million, six hundred thirty-four thousand, two hundred forty".