3406741400 has 48 divisors (see below), whose sum is σ = 7955368800. Its totient is φ = 1356727680.

The previous prime is 3406741337. The next prime is 3406741417. The reversal of 3406741400 is 41476043.

It is a congruent number.

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, 8609 + ... + 82991.

It is an arithmetic number, because the mean of its divisors is an integer number (165736850).

Almost surely, 2^3406741400 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 3406741400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977684400).

3406741400 is an abundant number, since it is smaller than the sum of its proper divisors (4548627400).

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

3406741400 is a wasteful number, since it uses less digits than its factorization.

3406741400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74628 (or 74619 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 3406741400 is about 58367.2973504856. The cubic root of 3406741400 is about 1504.6877642790.

The spelling of 3406741400 in words is "three billion, four hundred six million, seven hundred forty-one thousand, four hundred".