3240241920 has 576 divisors, whose sum is σ = 12317961600. Its totient is φ = 805109760.

The previous prime is 3240241919. The next prime is 3240241933. The reversal of 3240241920 is 291420423.

3240241920 is a `hidden beast` number, since 3 + 240 + 2 + 419 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53118690 + ... + 53118750.

It is an arithmetic number, because the mean of its divisors is an integer number (21385350).

Almost surely, 2^3240241920 is an apocalyptic number.

3240241920 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 3240241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158980800).

3240241920 is an abundant number, since it is smaller than the sum of its proper divisors (9077719680).

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

3240241920 is a wasteful number, since it uses less digits than its factorization.

3240241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3240241920 is about 56923.1228939523. The cubic root of 3240241920 is about 1479.7640724487.

The spelling of 3240241920 in words is "three billion, two hundred forty million, two hundred forty-one thousand, nine hundred twenty".