3123252405 has 96 divisors (see below), whose sum is σ = 6956006400. Its totient is φ = 1317907584.

The previous prime is 3123252329. The next prime is 3123252443. The reversal of 3123252405 is 5042523213.

It is a happy number.

3123252405 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 252 + 405 = 666.

It is not a de Polignac number, because 3123252405 - 2¹³ = 3123244213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67836 + ... + 104154.

It is an arithmetic number, because the mean of its divisors is an integer number (72458400).

Almost surely, 2^3123252405 is an apocalyptic number.

3123252405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3123252405 is an abundant number, since it is smaller than the sum of its proper divisors (3832753995).

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

3123252405 is a wasteful number, since it uses less digits than its factorization.

3123252405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36360 (or 36347 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3123252405 is about 55886.0662866872. The cubic root of 3123252405 is about 1461.7362850195.

Adding to 3123252405 its reverse (5042523213), we get a palindrome (8165775618).

The spelling of 3123252405 in words is "three billion, one hundred twenty-three million, two hundred fifty-two thousand, four hundred five".