3654045144 has 384 divisors, whose sum is σ = 11645337600. Its totient is φ = 1027952640.

The previous prime is 3654045139. The next prime is 3654045169. The reversal of 3654045144 is 4415404563.

3654045144 is a `hidden beast` number, since 36 + 540 + 45 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3654045099 and 3654045108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46253697 + ... + 46253775.

It is an arithmetic number, because the mean of its divisors is an integer number (30326400).

Almost surely, 2^3654045144 is an apocalyptic number.

3654045144 is a gapful number since it is divisible by the number (34) 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 3654045144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822668800).

3654045144 is an abundant number, since it is smaller than the sum of its proper divisors (7991292456).

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

3654045144 is a wasteful number, since it uses less digits than its factorization.

3654045144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3654045144 is about 60448.6984475266. The cubic root of 3654045144 is about 1540.2503028243.

The spelling of 3654045144 in words is "three billion, six hundred fifty-four million, forty-five thousand, one hundred forty-four".