3619378080 has 288 divisors, whose sum is σ = 12927043584. Its totient is φ = 956261376.

The previous prime is 3619378067. The next prime is 3619378093. The reversal of 3619378080 is 808739163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3619378067) and next prime (3619378093).

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

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

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, 4937394 + ... + 4938126.

It is an arithmetic number, because the mean of its divisors is an integer number (44885568).

Almost surely, 2^3619378080 is an apocalyptic number.

3619378080 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 3619378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463521792).

3619378080 is an abundant number, since it is smaller than the sum of its proper divisors (9307665504).

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

3619378080 is a wasteful number, since it uses less digits than its factorization.

3619378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3619378080 is about 60161.2672738864. The cubic root of 3619378080 is about 1535.3638723291.

The spelling of 3619378080 in words is "three billion, six hundred nineteen million, three hundred seventy-eight thousand, eighty".