3420504240 has 80 divisors (see below), whose sum is σ = 10777438176. Its totient is φ = 897177600.

The previous prime is 3420504233. The next prime is 3420504247. The reversal of 3420504240 is 424050243.

It is an interprime number because it is at equal distance from previous prime (3420504233) and next prime (3420504247).

It is a tau number, because it is divible by the number of its divisors (80).

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 3420504240.

It is not an unprimeable number, because it can be changed into a prime (3420504247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102181 + ... + 131460.

Almost surely, 2^3420504240 is an apocalyptic number.

3420504240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420504240 is an abundant number, since it is smaller than the sum of its proper divisors (7356933936).

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

3420504240 is a wasteful number, since it uses less digits than its factorization.

3420504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233718 (or 233712 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 3420504240 is about 58485.0770709931. The cubic root of 3420504240 is about 1506.7112964391.

Adding to 3420504240 its reverse (424050243), we get a palindrome (3844554483).

The spelling of 3420504240 in words is "three billion, four hundred twenty million, five hundred four thousand, two hundred forty".