3415426560 has 800 divisors, whose sum is σ = 15139156032. Its totient is φ = 716636160.

The previous prime is 3415426549. The next prime is 3415426571. The reversal of 3415426560 is 656245143.

3415426560 is a `hidden beast` number, since 3 + 41 + 54 + 2 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3415426549) and next prime (3415426571).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18869670 + ... + 18869850.

Almost surely, 2^3415426560 is an apocalyptic number.

3415426560 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 3415426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7569578016).

3415426560 is an abundant number, since it is smaller than the sum of its proper divisors (11723729472).

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

3415426560 is a wasteful number, since it uses less digits than its factorization.

3415426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3415426560 is about 58441.6509007061. The cubic root of 3415426560 is about 1505.9653648326.

The spelling of 3415426560 in words is "three billion, four hundred fifteen million, four hundred twenty-six thousand, five hundred sixty".