3233464920 has 672 divisors, whose sum is σ = 13277589120. Its totient is φ = 705438720.

The previous prime is 3233464919. The next prime is 3233464921. The reversal of 3233464920 is 294643323.

3233464920 is a `hidden beast` number, since 3 + 2 + 3 + 3 + 4 + 649 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3233464919) and next prime (3233464921).

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 (3233464921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 44294004 + ... + 44294076.

Almost surely, 2^3233464920 is an apocalyptic number.

3233464920 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 3233464920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638794560).

3233464920 is an abundant number, since it is smaller than the sum of its proper divisors (10044124200).

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

3233464920 is a wasteful number, since it uses less digits than its factorization.

3233464920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3233464920 is about 56863.5640810528. The cubic root of 3233464920 is about 1478.7317050127.

The spelling of 3233464920 in words is "three billion, two hundred thirty-three million, four hundred sixty-four thousand, nine hundred twenty".