3754618560 has 336 divisors, whose sum is σ = 16101925632. Its totient is φ = 780134400.

The previous prime is 3754618559. The next prime is 3754618639. The reversal of 3754618560 is 658164573.

3754618560 is a `hidden beast` number, since 3 + 75 + 4 + 6 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213295 + ... + 230225.

Almost surely, 2^3754618560 is an apocalyptic number.

3754618560 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 3754618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050962816).

3754618560 is an abundant number, since it is smaller than the sum of its proper divisors (12347307072).

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

3754618560 is a wasteful number, since it uses less digits than its factorization.

3754618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16972 (or 16959 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3754618560 is about 61274.9423500341. The cubic root of 3754618560 is about 1554.2538108514.

The spelling of 3754618560 in words is "three billion, seven hundred fifty-four million, six hundred eighteen thousand, five hundred sixty".