3420240300240 has 80 divisors (see below), whose sum is σ = 10604052422208. Its totient is φ = 911951607808.

The previous prime is 3420240300227. The next prime is 3420240300307. The reversal of 3420240300240 is 420030420243.

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

It is a super-2 number, since 2×3420240300240² (a number of 26 digits) contains 22 as substring.

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 3420240300240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080664 + ... + 2829896.

Almost surely, 2^{3420240300240} is an apocalyptic number.

3420240300240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420240300240 is an abundant number, since it is smaller than the sum of its proper divisors (7183812121968).

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

3420240300240 is a wasteful number, since it uses less digits than its factorization.

3420240300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757396 (or 1757390 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 3420240300240 its reverse (420030420243), we get a palindrome (3840270720483).

The spelling of 3420240300240 in words is "three trillion, four hundred twenty billion, two hundred forty million, three hundred thousand, two hundred forty".