3346054800 has 240 divisors, whose sum is σ = 12097529280. Its totient is φ = 783104000.

The previous prime is 3346054799. The next prime is 3346054819. The reversal of 3346054800 is 84506433.

3346054800 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 (240).

It is a super-2 number, since 2×3346054800² = 22392165449206080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378430 + ... + 387170.

It is an arithmetic number, because the mean of its divisors is an integer number (50406372).

Almost surely, 2^3346054800 is an apocalyptic number.

3346054800 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 3346054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048764640).

3346054800 is an abundant number, since it is smaller than the sum of its proper divisors (8751474480).

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

3346054800 is a wasteful number, since it uses less digits than its factorization.

3346054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8802 (or 8791 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3346054800 is about 57845.0931367562. The cubic root of 3346054800 is about 1495.6995044974.

The spelling of 3346054800 in words is "three billion, three hundred forty-six million, fifty-four thousand, eight hundred".