3406627400 has 96 divisors (see below), whose sum is σ = 8654580000. Its totient is φ = 1236748800.

The previous prime is 3406627391. The next prime is 3406627421. The reversal of 3406627400 is 47266043.

It is a super-2 number, since 2×3406627400² = 23210220484861520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2271851 + ... + 2273349.

It is an arithmetic number, because the mean of its divisors is an integer number (90151875).

Almost surely, 2^3406627400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406627400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327290000).

3406627400 is an abundant number, since it is smaller than the sum of its proper divisors (5247952600).

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

3406627400 is a wasteful number, since it uses less digits than its factorization.

3406627400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 3406627400 is about 58366.3207680594. The cubic root of 3406627400 is about 1504.6709802716.

The spelling of 3406627400 in words is "three billion, four hundred six million, six hundred twenty-seven thousand, four hundred".