3410947456 has 128 divisors (see below), whose sum is σ = 8282856960. Its totient is φ = 1365811200.

The previous prime is 3410947427. The next prime is 3410947493. The reversal of 3410947456 is 6547490143.

3410947456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an alternating number because its digits alternate between odd and even.

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, 2299291 + ... + 2300773.

It is an arithmetic number, because the mean of its divisors is an integer number (64709820).

Almost surely, 2^3410947456 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 3410947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141428480).

3410947456 is an abundant number, since it is smaller than the sum of its proper divisors (4871909504).

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

3410947456 is a wasteful number, since it uses less digits than its factorization.

3410947456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 3410947456 is about 58403.3171660651. The cubic root of 3410947456 is about 1505.3067524822.

The spelling of 3410947456 in words is "three billion, four hundred ten million, nine hundred forty-seven thousand, four hundred fifty-six".