3287796052401 has 96 divisors (see below), whose sum is σ = 5918033721600. Its totient is φ = 1784217818880.

The previous prime is 3287796052399. The next prime is 3287796052403. The reversal of 3287796052401 is 1042506977823.

It is a happy number.

3287796052401 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 7 + 9 + 605 + 24 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3287796052399) and next prime (3287796052403).

It is not a de Polignac number, because 3287796052401 - 2¹ = 3287796052399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3287796052403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2462755 + ... + 3555383.

It is an arithmetic number, because the mean of its divisors is an integer number (61646184600).

It is a 1-persistent number, because it is pandigital, but 2⋅3287796052401 = 6575592104802 is not.

Almost surely, 2^{3287796052401} is an apocalyptic number.

It is an amenable number.

3287796052401 is a deficient number, since it is larger than the sum of its proper divisors (2630237669199).

3287796052401 is a wasteful number, since it uses less digits than its factorization.

3287796052401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092741 (or 1092729 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3287796052401 in words is "three trillion, two hundred eighty-seven billion, seven hundred ninety-six million, fifty-two thousand, four hundred one".