3413212440 has 128 divisors (see below), whose sum is σ = 11758521600. Its totient is φ = 783889920.

The previous prime is 3413212393. The next prime is 3413212457. The reversal of 3413212440 is 442123143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3413212440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42967 + ... + 93126.

It is an arithmetic number, because the mean of its divisors is an integer number (91863450).

Almost surely, 2^3413212440 is an apocalyptic number.

3413212440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413212440 is an abundant number, since it is smaller than the sum of its proper divisors (8345309160).

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

3413212440 is a wasteful number, since it uses less digits than its factorization.

3413212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136137 (or 136133 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3413212440 is about 58422.7048329671. The cubic root of 3413212440 is about 1505.6398702213.

Adding to 3413212440 its reverse (442123143), we get a palindrome (3855335583).

The spelling of 3413212440 in words is "three billion, four hundred thirteen million, two hundred twelve thousand, four hundred forty".