3414320000520 has 256 divisors, whose sum is σ = 12152838862080. Its totient is φ = 756478464000.

The previous prime is 3414320000513. The next prime is 3414320000537. The reversal of 3414320000520 is 250000234143.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 748162 + ... + 2718158.

It is an arithmetic number, because the mean of its divisors is an integer number (47472026805).

Almost surely, 2^{3414320000520} is an apocalyptic number.

3414320000520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414320000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076419431040).

3414320000520 is an abundant number, since it is smaller than the sum of its proper divisors (8738518861560).

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

3414320000520 is a wasteful number, since it uses less digits than its factorization.

3414320000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970136 (or 1970132 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 3414320000520 its reverse (250000234143), we get a palindrome (3664320234663).

The spelling of 3414320000520 in words is "three trillion, four hundred fourteen billion, three hundred twenty million, five hundred twenty", and thus it is an aban number.