3410676801 has 81 divisors (see below), whose sum is σ = 6009318081. Its totient is φ = 1930036248.

The previous prime is 3410676793. The next prime is 3410676809. The reversal of 3410676801 is 1086760143.

The square root of 3410676801 is 58401.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3410676793) and next prime (3410676809).

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 3410676801 - 2³ = 3410676793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3410676809) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33113316 + ... + 33113418.

Almost surely, 2^3410676801 is an apocalyptic number.

3410676801 is the 58401-st square number.

3410676801 is the 29201-st centered octagonal number.

It is an amenable number.

3410676801 is a deficient number, since it is larger than the sum of its proper divisors (2598641280).

3410676801 is an frugal number, since it uses more digits than its factorization.

3410676801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 3410676801 is about 1505.2669366069.

Multiplying 3410676801 by its sum of digits (36), we get a square (122784364836 = 350406²).

The spelling of 3410676801 in words is "three billion, four hundred ten million, six hundred seventy-six thousand, eight hundred one".