3413432736 has 72 divisors (see below), whose sum is σ = 11093662944. Its totient is φ = 975265920.

The previous prime is 3413432717. The next prime is 3413432797. The reversal of 3413432736 is 6372343143.

3413432736 is a `hidden beast` number, since 3 + 41 + 343 + 273 + 6 = 666.

3413432736 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3413432736.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 844570 + ... + 848601.

It is an arithmetic number, because the mean of its divisors is an integer number (154078652).

Almost surely, 2^3413432736 is an apocalyptic number.

3413432736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3413432736 is an abundant number, since it is smaller than the sum of its proper divisors (7680230208).

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

3413432736 is a wasteful number, since it uses less digits than its factorization.

3413432736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693194 (or 1693183 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 3413432736 is about 58424.5901654432. The cubic root of 3413432736 is about 1505.6722619257.

Adding to 3413432736 its reverse (6372343143), we get a palindrome (9785775879).

The spelling of 3413432736 in words is "three billion, four hundred thirteen million, four hundred thirty-two thousand, seven hundred thirty-six".