3746572560 has 120 divisors (see below), whose sum is σ = 12618739224. Its totient is φ = 996188160.

The previous prime is 3746572559. The next prime is 3746572639. The reversal of 3746572560 is 652756473.

3746572560 is a `hidden beast` number, since 3 + 74 + 6 + 572 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1141899264 + 2604673296 = 33792^2 + 51036^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246790 + ... + 261530.

Almost surely, 2^3746572560 is an apocalyptic number.

3746572560 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 3746572560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309369612).

3746572560 is an abundant number, since it is smaller than the sum of its proper divisors (8872166664).

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

3746572560 is a wasteful number, since it uses less digits than its factorization.

3746572560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15113 (or 15104 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 3746572560 is about 61209.2522417976. The cubic root of 3746572560 is about 1553.1427819002.

The spelling of 3746572560 in words is "three billion, seven hundred forty-six million, five hundred seventy-two thousand, five hundred sixty".