3148800 has 132 divisors (see below), whose sum is σ = 10660776. Its totient is φ = 819200.

The previous prime is 3148793. The next prime is 3148801. The reversal of 3148800 is 88413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3148801) 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, 76780 + ... + 76820.

Almost surely, 2^3148800 is an apocalyptic number.

3148800 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 3148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330388).

3148800 is an abundant number, since it is smaller than the sum of its proper divisors (7511976).

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

3148800 is a wasteful number, since it uses less digits than its factorization.

3148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3148800 is about 1774.4858410255. The cubic root of 3148800 is about 146.5711039558.

The spelling of 3148800 in words is "three million, one hundred forty-eight thousand, eight hundred".