3420112511504 has 40 divisors (see below), whose sum is σ = 7555972558680. Its totient is φ = 1485659731968.

The previous prime is 3420112511477. The next prime is 3420112511533. The reversal of 3420112511504 is 4051152110243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21059814400 + 3399052697104 = 145120^2 + 1843652^2 .

It is a super-3 number, since 3×3420112511504³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483609659 + ... + 483616730.

It is an arithmetic number, because the mean of its divisors is an integer number (188899313967).

Almost surely, 2^{3420112511504} is an apocalyptic number.

3420112511504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3420112511504 is an abundant number, since it is smaller than the sum of its proper divisors (4135860047176).

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

3420112511504 is a wasteful number, since it uses less digits than its factorization.

3420112511504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967226427 (or 967226421 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 3420112511504 its reverse (4051152110243), we get a palindrome (7471264621747).

The spelling of 3420112511504 in words is "three trillion, four hundred twenty billion, one hundred twelve million, five hundred eleven thousand, five hundred four".