3240025920 has 784 divisors, whose sum is σ = 13192597440. Its totient is φ = 752467968.

The previous prime is 3240025889. The next prime is 3240025927. The reversal of 3240025920 is 295200423.

3240025920 is a `hidden beast` number, since 3 + 2 + 400 + 259 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240025927) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 75349419 + ... + 75349461.

Almost surely, 2^3240025920 is an apocalyptic number.

3240025920 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 3240025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596298720).

3240025920 is an abundant number, since it is smaller than the sum of its proper divisors (9952571520).

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

3240025920 is a wasteful number, since it uses less digits than its factorization.

3240025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3240025920 is about 56921.2255665670. The cubic root of 3240025920 is about 1479.7311905271.

The spelling of 3240025920 in words is "three billion, two hundred forty million, twenty-five thousand, nine hundred twenty".