3345686400 has 192 divisors, whose sum is σ = 12594372480. Its totient is φ = 764712960.

The previous prime is 3345686371. The next prime is 3345686441. The reversal of 3345686400 is 46865433.

3345686400 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 (192).

It is a super-2 number, since 2×3345686400² = 22387234974289920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42307 + ... + 92093.

It is an arithmetic number, because the mean of its divisors is an integer number (65595690).

Almost surely, 2^3345686400 is an apocalyptic number.

3345686400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297186240).

3345686400 is an abundant number, since it is smaller than the sum of its proper divisors (9248686080).

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

3345686400 is a wasteful number, since it uses less digits than its factorization.

3345686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49821 (or 49804 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3345686400 is about 57841.9086822003. The cubic root of 3345686400 is about 1495.6446104053.

The spelling of 3345686400 in words is "three billion, three hundred forty-five million, six hundred eighty-six thousand, four hundred".