3618234144 has 576 divisors, whose sum is σ = 13615257600. Its totient is φ = 911471616.

The previous prime is 3618234101. The next prime is 3618234197. The reversal of 3618234144 is 4414328163.

3618234144 is a `hidden beast` number, since 3 + 618 + 2 + 34 + 1 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3618234099 and 3618234108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97790094 + ... + 97790130.

It is an arithmetic number, because the mean of its divisors is an integer number (23637600).

Almost surely, 2^3618234144 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 3618234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807628800).

3618234144 is an abundant number, since it is smaller than the sum of its proper divisors (9997023456).

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

3618234144 is a wasteful number, since it uses less digits than its factorization.

3618234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 91 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3618234144 is about 60151.7592760179. The cubic root of 3618234144 is about 1535.2021002384.

The spelling of 3618234144 in words is "three billion, six hundred eighteen million, two hundred thirty-four thousand, one hundred forty-four".