3416777640 has 480 divisors, whose sum is σ = 12637409400. Its totient is φ = 827228160.

The previous prime is 3416777603. The next prime is 3416777669. The reversal of 3416777640 is 467776143.

It can be written as a sum of positive squares in 12 ways, for example, as 96943716 + 3319833924 = 9846^2 + 57618^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38390716 + ... + 38390804.

Almost surely, 2^3416777640 is an apocalyptic number.

3416777640 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 3416777640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318704700).

3416777640 is an abundant number, since it is smaller than the sum of its proper divisors (9220631760).

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

3416777640 is a wasteful number, since it uses less digits than its factorization.

3416777640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 3416777640 is about 58453.2089794906. The cubic root of 3416777640 is about 1506.1639160642.

The spelling of 3416777640 in words is "three billion, four hundred sixteen million, seven hundred seventy-seven thousand, six hundred forty".