3609378000 has 240 divisors, whose sum is σ = 12674188800. Its totient is φ = 957331200.

The previous prime is 3609377977. The next prime is 3609378023. The reversal of 3609378000 is 8739063.

3609378000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3609377977) and next prime (3609378023).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×3609378000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4301581 + ... + 4302419.

It is an arithmetic number, because the mean of its divisors is an integer number (52809120).

Almost surely, 2^3609378000 is an apocalyptic number.

3609378000 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 3609378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337094400).

3609378000 is an abundant number, since it is smaller than the sum of its proper divisors (9064810800).

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

3609378000 is a wasteful number, since it uses less digits than its factorization.

3609378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3609378000 is about 60078.0991709957. The cubic root of 3609378000 is about 1533.9485349053.

The spelling of 3609378000 in words is "three billion, six hundred nine million, three hundred seventy-eight thousand".