3414332736 has 98 divisors (see below), whose sum is σ = 10158466602. Its totient is φ = 1138095360.

The previous prime is 3414332723. The next prime is 3414332743. The reversal of 3414332736 is 6372334143.

3414332736 is a `hidden beast` number, since 341 + 43 + 3 + 273 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2576577600 + 837755136 = 50760^2 + 28944^2 .

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 3414332736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10066 + ... + 83246.

Almost surely, 2^3414332736 is an apocalyptic number.

3414332736 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 3414332736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079233301).

3414332736 is an abundant number, since it is smaller than the sum of its proper divisors (6744133866).

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

3414332736 is an frugal number, since it uses more digits than its factorization.

3414332736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73211 (or 73186 counting only the distinct ones).

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

The square root of 3414332736 is about 58432.2918941231. The cubic root of 3414332736 is about 1505.8045809195.

Adding to 3414332736 its reverse (6372334143), we get a palindrome (9786666879).

The spelling of 3414332736 in words is "three billion, four hundred fourteen million, three hundred thirty-two thousand, seven hundred thirty-six".