3807181742401 has 8 divisors (see below), whose sum is σ = 3977343385344. Its totient is φ = 3639979432560.

The previous prime is 3807181742387. The next prime is 3807181742411. The reversal of 3807181742401 is 1042471817083.

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

It is a cyclic number.

It is not a de Polignac number, because 3807181742401 - 2³⁵ = 3772822004033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3807181742411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739830646 + ... + 739835791.

It is an arithmetic number, because the mean of its divisors is an integer number (497167923168).

Almost surely, 2^{3807181742401} is an apocalyptic number.

3807181742401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3807181742401 is a deficient number, since it is larger than the sum of its proper divisors (170161642943).

3807181742401 is a wasteful number, since it uses less digits than its factorization.

3807181742401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479666551.

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 3807181742401 in words is "three trillion, eight hundred seven billion, one hundred eighty-one million, seven hundred forty-two thousand, four hundred one".