3997462106208 has 96 divisors (see below), whose sum is σ = 11344149411840. Its totient is φ = 1228238691840.

The previous prime is 3997462106173. The next prime is 3997462106237. The reversal of 3997462106208 is 8026012647993.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29548608 + ... + 29683583.

It is an arithmetic number, because the mean of its divisors is an integer number (118168223040).

Almost surely, 2^{3997462106208} is an apocalyptic number.

3997462106208 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3997462106208 is an abundant number, since it is smaller than the sum of its proper divisors (7346687305632).

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

3997462106208 is a wasteful number, since it uses less digits than its factorization.

3997462106208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59232260 (or 59232252 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 3997462106208 in words is "three trillion, nine hundred ninety-seven billion, four hundred sixty-two million, one hundred six thousand, two hundred eight".