3410242560 has 264 divisors, whose sum is σ = 12258516816. Its totient is φ = 909066240.

The previous prime is 3410242519. The next prime is 3410242567. The reversal of 3410242560 is 652420143.

3410242560 is a `hidden beast` number, since 3 + 410 + 242 + 5 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3410242567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242790 + ... + 1245530.

Almost surely, 2^3410242560 is an apocalyptic number.

3410242560 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 3410242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129258408).

3410242560 is an abundant number, since it is smaller than the sum of its proper divisors (8848274256).

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

3410242560 is an equidigital number, since it uses as much as digits as its factorization.

3410242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3410242560 is about 58397.2821285375. The cubic root of 3410242560 is about 1505.2030513039.

The spelling of 3410242560 in words is "three billion, four hundred ten million, two hundred forty-two thousand, five hundred sixty".