3413842000 has 80 divisors (see below), whose sum is σ = 8477952912. Its totient is φ = 1328601600.

The previous prime is 3413841979. The next prime is 3413842021. The reversal of 3413842000 is 2483143.

It is an interprime number because it is at equal distance from previous prime (3413841979) and next prime (3413842021).

It can be written as a sum of positive squares in 8 ways, for example, as 362826304 + 3051015696 = 19048^2 + 55236^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50934 + ... + 97066.

Almost surely, 2^3413842000 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 3413842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238976456).

3413842000 is an abundant number, since it is smaller than the sum of its proper divisors (5064110912).

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

3413842000 is a wasteful number, since it uses less digits than its factorization.

3413842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46193 (or 46177 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3413842000 is about 58428.0925582891. The cubic root of 3413842000 is about 1505.7324352540.

The spelling of 3413842000 in words is "three billion, four hundred thirteen million, eight hundred forty-two thousand".