3400416936 has 160 divisors (see below), whose sum is σ = 11107800000. Its totient is φ = 971484192.

The previous prime is 3400416923. The next prime is 3400416967. The reversal of 3400416936 is 6396140043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3400416936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 214615 + ... + 229913.

It is an arithmetic number, because the mean of its divisors is an integer number (69423750).

Almost surely, 2^3400416936 is an apocalyptic number.

3400416936 is a gapful number since it is divisible by the number (36) 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 3400416936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553900000).

3400416936 is an abundant number, since it is smaller than the sum of its proper divisors (7707383064).

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

3400416936 is a wasteful number, since it uses less digits than its factorization.

3400416936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15338 (or 15311 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3400416936 is about 58313.0940355595. The cubic root of 3400416936 is about 1503.7560588309.

Adding to 3400416936 its reverse (6396140043), we get a palindrome (9796556979).

The spelling of 3400416936 in words is "three billion, four hundred million, four hundred sixteen thousand, nine hundred thirty-six".