3747461760 has 640 divisors, whose sum is σ = 15995232000. Its totient is φ = 817496064.

The previous prime is 3747461741. The next prime is 3747461761. The reversal of 3747461760 is 671647473.

3747461760 is a `hidden beast` number, since 3 + 7 + 474 + 6 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3747461761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8346016 + ... + 8346464.

It is an arithmetic number, because the mean of its divisors is an integer number (24992550).

Almost surely, 2^3747461760 is an apocalyptic number.

3747461760 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 3747461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997616000).

3747461760 is an abundant number, since it is smaller than the sum of its proper divisors (12247770240).

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

3747461760 is a wasteful number, since it uses less digits than its factorization.

3747461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 3747461760 is about 61216.5154186352. The cubic root of 3747461760 is about 1553.2656448899.

The spelling of 3747461760 in words is "three billion, seven hundred forty-seven million, four hundred sixty-one thousand, seven hundred sixty".