3778659360 has 288 divisors, whose sum is σ = 15604348032. Its totient is φ = 812851200.

The previous prime is 3778659359. The next prime is 3778659419. The reversal of 3778659360 is 639568773.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3778659297 and 3778659306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160335 + ... + 182385.

It is an arithmetic number, because the mean of its divisors is an integer number (54181764).

Almost surely, 2^3778659360 is an apocalyptic number.

3778659360 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 3778659360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802174016).

3778659360 is an abundant number, since it is smaller than the sum of its proper divisors (11825688672).

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

3778659360 is a wasteful number, since it uses less digits than its factorization.

3778659360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22096 (or 22085 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3778659360 is about 61470.8008732601. The cubic root of 3778659360 is about 1557.5640483217.

The spelling of 3778659360 in words is "three billion, seven hundred seventy-eight million, six hundred fifty-nine thousand, three hundred sixty".