3972588401 has 8 divisors (see below), whose sum is σ = 3983532000. Its totient is φ = 3961657728.

The previous prime is 3972588307. The next prime is 3972588409. The reversal of 3972588401 is 1048852793.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3972588401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3972588409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1004510 + ... + 1008456.

It is an arithmetic number, because the mean of its divisors is an integer number (497941500).

Almost surely, 2^3972588401 is an apocalyptic number.

It is an amenable number.

3972588401 is a deficient number, since it is larger than the sum of its proper divisors (10943599).

3972588401 is a wasteful number, since it uses less digits than its factorization.

3972588401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463.

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 3972588401 is about 63028.4729388235. The cubic root of 3972588401 is about 1583.7666370974.

The spelling of 3972588401 in words is "three billion, nine hundred seventy-two million, five hundred eighty-eight thousand, four hundred one".