3996072601920 has 1344 divisors, whose sum is σ = 17192548800000. Its totient is φ = 873332748288.

The previous prime is 3996072601919. The next prime is 3996072601921. The reversal of 3996072601920 is 291062706993.

3996072601920 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 0 + 7 + 2 + 601 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3996072601919) and next prime (3996072601921).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996072601921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1567700806 + ... + 1567703354.

It is an arithmetic number, because the mean of its divisors is an integer number (12792075000).

Almost surely, 2^{3996072601920} is an apocalyptic number.

3996072601920 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 3996072601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596274400000).

3996072601920 is an abundant number, since it is smaller than the sum of its proper divisors (13196476198080).

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

3996072601920 is a wasteful number, since it uses less digits than its factorization.

3996072601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 3996072601920 in words is "three trillion, nine hundred ninety-six billion, seventy-two million, six hundred one thousand, nine hundred twenty".