3482973753 has 48 divisors (see below), whose sum is σ = 5731055424. Its totient is φ = 1869557760.

The previous prime is 3482973751. The next prime is 3482973763. The reversal of 3482973753 is 3573792843.

It is not a de Polignac number, because 3482973753 - 2¹ = 3482973751 is a prime.

It is a super-2 number, since 2×3482973753² = 24262212328173810018, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3482973696 and 3482973705.

It is not an unprimeable number, because it can be changed into a prime (3482973751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1725801 + ... + 1727817.

It is an arithmetic number, because the mean of its divisors is an integer number (119396988).

Almost surely, 2^3482973753 is an apocalyptic number.

It is an amenable number.

3482973753 is a deficient number, since it is larger than the sum of its proper divisors (2248081671).

3482973753 is a wasteful number, since it uses less digits than its factorization.

3482973753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2735 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The square root of 3482973753 is about 59016.7243499671. The cubic root of 3482973753 is about 1515.8284965111.

The spelling of 3482973753 in words is "three billion, four hundred eighty-two million, nine hundred seventy-three thousand, seven hundred fifty-three".