3453612516 has 72 divisors (see below), whose sum is σ = 8810585784. Its totient is φ = 1140625920.

The previous prime is 3453612511. The next prime is 3453612521. The reversal of 3453612516 is 6152163543.

3453612516 is a `hidden beast` number, since 3 + 45 + 361 + 251 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3453612511) and next prime (3453612521).

It can be written as a sum of positive squares in 4 ways, for example, as 1694145600 + 1759466916 = 41160^2 + 41946^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3453612511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1991986 + ... + 1993718.

It is an arithmetic number, because the mean of its divisors is an integer number (122369247).

Almost surely, 2^3453612516 is an apocalyptic number.

3453612516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3453612516 is an abundant number, since it is smaller than the sum of its proper divisors (5356973268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3453612516 is a wasteful number, since it uses less digits than its factorization.

3453612516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2216 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3453612516 is about 58767.4443548467. Note that the first 3 decimals coincide. The cubic root of 3453612516 is about 1511.5570267386.

The spelling of 3453612516 in words is "three billion, four hundred fifty-three million, six hundred twelve thousand, five hundred sixteen".