3413964100 has 72 divisors (see below), whose sum is σ = 7871136840. Its totient is φ = 1282821120.

The previous prime is 3413964079. The next prime is 3413964107. The reversal of 3413964100 is 14693143.

It can be written as a sum of positive squares in 12 ways, for example, as 14607684 + 3399356416 = 3822^2 + 58304^2 .

It is not an unprimeable number, because it can be changed into a prime (3413964107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91392 + ... + 123208.

It is an arithmetic number, because the mean of its divisors is an integer number (109321345).

Almost surely, 2^3413964100 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 3413964100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935568420).

3413964100 is an abundant number, since it is smaller than the sum of its proper divisors (4457172740).

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

3413964100 is a wasteful number, since it uses less digits than its factorization.

3413964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31897 (or 31890 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3413964100 is about 58429.1374230358. The cubic root of 3413964100 is about 1505.7503864596.

The spelling of 3413964100 in words is "three billion, four hundred thirteen million, nine hundred sixty-four thousand, one hundred".