3416277760 has 144 divisors (see below), whose sum is σ = 9570629376. Its totient is φ = 1143926784.

The previous prime is 3416277731. The next prime is 3416277773. The reversal of 3416277760 is 677726143.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380847 + ... + 389713.

It is an arithmetic number, because the mean of its divisors is an integer number (66462704).

Almost surely, 2^3416277760 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 3416277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785314688).

3416277760 is an abundant number, since it is smaller than the sum of its proper divisors (6154351616).

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

3416277760 is an equidigital number, since it uses as much as digits as its factorization.

3416277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938 (or 8924 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The square root of 3416277760 is about 58448.9329243914. The cubic root of 3416277760 is about 1506.0904610902.

The spelling of 3416277760 in words is "three billion, four hundred sixteen million, two hundred seventy-seven thousand, seven hundred sixty".