3422627520 has 224 divisors, whose sum is σ = 11989978560. Its totient is φ = 821821440.

The previous prime is 3422627503. The next prime is 3422627543. The reversal of 3422627520 is 257262243.

It is a super-2 number, since 2×3422627520² = 23428758281322700800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508336 + ... + 515024.

It is an arithmetic number, because the mean of its divisors is an integer number (53526690).

Almost surely, 2^3422627520 is an apocalyptic number.

3422627520 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 3422627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994989280).

3422627520 is an abundant number, since it is smaller than the sum of its proper divisors (8567351040).

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

3422627520 is a wasteful number, since it uses less digits than its factorization.

3422627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 3422627520 is about 58503.2265776854. The cubic root of 3422627520 is about 1507.0229959238.

Adding to 3422627520 its reverse (257262243), we get a palindrome (3679889763).

The spelling of 3422627520 in words is "three billion, four hundred twenty-two million, six hundred twenty-seven thousand, five hundred twenty".