3200148000 has 960 divisors, whose sum is σ = 14384418048. Its totient is φ = 680140800.

The previous prime is 3200147989. The next prime is 3200148043. The reversal of 3200148000 is 8410023.

It is a happy number.

3200148000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38555959 + ... + 38556041.

Almost surely, 2^3200148000 is an apocalyptic number.

3200148000 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 3200148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7192209024).

3200148000 is an abundant number, since it is smaller than the sum of its proper divisors (11184270048).

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

3200148000 is a wasteful number, since it uses less digits than its factorization.

3200148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3200148000 is about 56569.8506273439. The cubic root of 3200148000 is about 1473.6353173002.

Adding to 3200148000 its reverse (8410023), we get a palindrome (3208558023).

The spelling of 3200148000 in words is "three billion, two hundred million, one hundred forty-eight thousand".