3506400353 has 16 divisors (see below), whose sum is σ = 3880852800. Its totient is φ = 3154697280.

The previous prime is 3506400323. The next prime is 3506400367. The reversal of 3506400353 is 3530046053.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3506400353 - 2⁸ = 3506400097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3506400323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18551 + ... + 85772.

It is an arithmetic number, because the mean of its divisors is an integer number (242553300).

Almost surely, 2^3506400353 is an apocalyptic number.

It is an amenable number.

3506400353 is a deficient number, since it is larger than the sum of its proper divisors (374452447).

3506400353 is a wasteful number, since it uses less digits than its factorization.

3506400353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104432.

The product of its (nonzero) digits is 16200, while the sum is 29.

The square root of 3506400353 is about 59214.8659797521. The cubic root of 3506400353 is about 1519.2194100550.

The spelling of 3506400353 in words is "three billion, five hundred six million, four hundred thousand, three hundred fifty-three".