3345148800 has 384 divisors, whose sum is σ = 13993747200. Its totient is φ = 764467200.

The previous prime is 3345148789. The next prime is 3345148801. The reversal of 3345148800 is 88415433.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3345148800² = 22380040988282880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345148801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602035 + ... + 607565.

It is an arithmetic number, because the mean of its divisors is an integer number (36442050).

Almost surely, 2^3345148800 is an apocalyptic number.

3345148800 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 3345148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996873600).

3345148800 is an abundant number, since it is smaller than the sum of its proper divisors (10648598400).

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

3345148800 is a wasteful number, since it uses less digits than its factorization.

3345148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3345148800 is about 57837.2613459524. The cubic root of 3345148800 is about 1495.5644971374.

The spelling of 3345148800 in words is "three billion, three hundred forty-five million, one hundred forty-eight thousand, eight hundred".