3229148520 has 192 divisors, whose sum is σ = 11578366800. Its totient is φ = 775434240.

The previous prime is 3229148513. The next prime is 3229148537. The reversal of 3229148520 is 258419223.

It is a happy number.

3229148520 is a `hidden beast` number, since 3 + 2 + 2 + 91 + 48 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23097636 + 3206050884 = 4806^2 + 56622^2 .

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

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, 183466 + ... + 200294.

Almost surely, 2^3229148520 is an apocalyptic number.

3229148520 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 3229148520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789183400).

3229148520 is an abundant number, since it is smaller than the sum of its proper divisors (8349218280).

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

3229148520 is a wasteful number, since it uses less digits than its factorization.

3229148520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16900 (or 16893 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3229148520 is about 56825.5974011712. The cubic root of 3229148520 is about 1478.0734184212.

The spelling of 3229148520 in words is "three billion, two hundred twenty-nine million, one hundred forty-eight thousand, five hundred twenty".