3560245920 has 864 divisors, whose sum is σ = 16047460800. Its totient is φ = 734469120.

The previous prime is 3560245919. The next prime is 3560245967. The reversal of 3560245920 is 295420653.

3560245920 is a `hidden beast` number, since 3 + 5 + 60 + 2 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 25613211 + ... + 25613349.

It is an arithmetic number, because the mean of its divisors is an integer number (18573450).

Almost surely, 2^3560245920 is an apocalyptic number.

3560245920 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 3560245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023730400).

3560245920 is an abundant number, since it is smaller than the sum of its proper divisors (12487214880).

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

3560245920 is a wasteful number, since it uses less digits than its factorization.

3560245920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3560245920 is about 59667.7963393990. The cubic root of 3560245920 is about 1526.9565027115.

The spelling of 3560245920 in words is "three billion, five hundred sixty million, two hundred forty-five thousand, nine hundred twenty".