3410416900 has 72 divisors (see below), whose sum is σ = 8270408160. Its totient is φ = 1209888000.

The previous prime is 3410416871. The next prime is 3410416909. The reversal of 3410416900 is 96140143.

It is a super-2 number, since 2×3410416900² = 23261886863611220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3410416909) 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, 7291 + ... + 82909.

It is an arithmetic number, because the mean of its divisors is an integer number (114866780).

Almost surely, 2^3410416900 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 3410416900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135204080).

3410416900 is an abundant number, since it is smaller than the sum of its proper divisors (4859991260).

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

3410416900 is a wasteful number, since it uses less digits than its factorization.

3410416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75685 (or 75678 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3410416900 is about 58398.7748159154. The cubic root of 3410416900 is about 1505.2287007627.

The spelling of 3410416900 in words is "three billion, four hundred ten million, four hundred sixteen thousand, nine hundred".