3745483560 has 288 divisors, whose sum is σ = 15250402440. Its totient is φ = 790207488.

The previous prime is 3745483543. The next prime is 3745483589. The reversal of 3745483560 is 653845473.

3745483560 is a `hidden beast` number, since 3 + 7 + 4 + 5 + 4 + 83 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1400406084 + 2345077476 = 37422^2 + 48426^2 .

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 71 ways as a sum of consecutive naturals, for example, 221154 + ... + 237486.

Almost surely, 2^3745483560 is an apocalyptic number.

3745483560 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 3745483560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625201220).

3745483560 is an abundant number, since it is smaller than the sum of its proper divisors (11504918880).

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

3745483560 is a wasteful number, since it uses less digits than its factorization.

3745483560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16377 (or 16363 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 3745483560 is about 61200.3558813182. The cubic root of 3745483560 is about 1552.9922855586.

The spelling of 3745483560 in words is "three billion, seven hundred forty-five million, four hundred eighty-three thousand, five hundred sixty".