3341482400 has 72 divisors (see below), whose sum is σ = 8291242764. Its totient is φ = 1314662400.

The previous prime is 3341482373. The next prime is 3341482409. The reversal of 3341482400 is 42841433.

3341482400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 43507216 + 3297975184 = 6596^2 + 57428^2 .

It is a super-2 number, since 2×3341482400² = 22331009259019520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3341482409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14564 + ... + 83036.

Almost surely, 2^3341482400 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 3341482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145621382).

3341482400 is an abundant number, since it is smaller than the sum of its proper divisors (4949760364).

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

3341482400 is a wasteful number, since it uses less digits than its factorization.

3341482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68554 (or 68541 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 3341482400 is about 57805.5568263121. The cubic root of 3341482400 is about 1495.0179004057.

The spelling of 3341482400 in words is "three billion, three hundred forty-one million, four hundred eighty-two thousand, four hundred".