3414131560 has 128 divisors (see below), whose sum is σ = 8957952000. Its totient is φ = 1146942720.

The previous prime is 3414131557. The next prime is 3414131579. The reversal of 3414131560 is 651314143.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3955689 + ... + 3956551.

It is an arithmetic number, because the mean of its divisors is an integer number (69984000).

Almost surely, 2^3414131560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414131560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478976000).

3414131560 is an abundant number, since it is smaller than the sum of its proper divisors (5543820440).

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

3414131560 is a wasteful number, since it uses less digits than its factorization.

3414131560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 3414131560 is about 58430.5704233666. The cubic root of 3414131560 is about 1505.7750058199.

The spelling of 3414131560 in words is "three billion, four hundred fourteen million, one hundred thirty-one thousand, five hundred sixty".