3400126620 has 144 divisors (see below), whose sum is σ = 10570410144. Its totient is φ = 815936000.

The previous prime is 3400126607. The next prime is 3400126637. The reversal of 3400126620 is 266210043.

It is a super-2 number, since 2×3400126620² = 23121722064065248800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730942 + ... + 735578.

It is an arithmetic number, because the mean of its divisors is an integer number (73405626).

Almost surely, 2^3400126620 is an apocalyptic number.

3400126620 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 3400126620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285205072).

3400126620 is an abundant number, since it is smaller than the sum of its proper divisors (7170283524).

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

3400126620 is a wasteful number, since it uses less digits than its factorization.

3400126620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3400126620 is about 58310.6046958870. The cubic root of 3400126620 is about 1503.7132624252.

Adding to 3400126620 its reverse (266210043), we get a palindrome (3666336663).

The spelling of 3400126620 in words is "three billion, four hundred million, one hundred twenty-six thousand, six hundred twenty".