3410406400 has 132 divisors (see below), whose sum is σ = 8543850480. Its totient is φ = 1349632000.

The previous prime is 3410406367. The next prime is 3410406449. The reversal of 3410406400 is 46040143.

It is a happy number.

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, 2584941 + ... + 2586259.

It is an arithmetic number, because the mean of its divisors is an integer number (64726140).

Almost surely, 2^3410406400 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 3410406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271925240).

3410406400 is an abundant number, since it is smaller than the sum of its proper divisors (5133444080).

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

3410406400 is a wasteful number, since it uses less digits than its factorization.

3410406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3410406400 is about 58398.6849167000. The cubic root of 3410406400 is about 1505.2271559939.

Adding to 3410406400 its reverse (46040143), we get a palindrome (3456446543).

The spelling of 3410406400 in words is "three billion, four hundred ten million, four hundred six thousand, four hundred".