3242833920 has 384 divisors, whose sum is σ = 11876155200. Its totient is φ = 838729728.

The previous prime is 3242833879. The next prime is 3242833927. The reversal of 3242833920 is 293382423.

3242833920 is a `hidden beast` number, since 324 + 283 + 39 + 20 = 666.

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

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 (3242833927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10229602 + ... + 10229918.

Almost surely, 2^3242833920 is an apocalyptic number.

3242833920 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 3242833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938077600).

3242833920 is an abundant number, since it is smaller than the sum of its proper divisors (8633321280).

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

3242833920 is a wasteful number, since it uses less digits than its factorization.

3242833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3242833920 is about 56945.8858917833. The cubic root of 3242833920 is about 1480.1585415746.

The spelling of 3242833920 in words is "three billion, two hundred forty-two million, eight hundred thirty-three thousand, nine hundred twenty".