3746578660 has 144 divisors (see below), whose sum is σ = 9211886208. Its totient is φ = 1279618560.

The previous prime is 3746578657. The next prime is 3746578663. The reversal of 3746578660 is 668756473.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3746578657) and next prime (3746578663).

It is a junction number, because it is equal to n+sod(n) for n = 3746578598 and 3746578607.

It is not an unprimeable number, because it can be changed into a prime (3746578663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7692937 + ... + 7693423.

It is an arithmetic number, because the mean of its divisors is an integer number (63971432).

Almost surely, 2^3746578660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746578660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605943104).

3746578660 is an abundant number, since it is smaller than the sum of its proper divisors (5465307548).

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

3746578660 is a wasteful number, since it uses less digits than its factorization.

3746578660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The square root of 3746578660 is about 61209.3020708454. The cubic root of 3746578660 is about 1553.1436248187.

The spelling of 3746578660 in words is "three billion, seven hundred forty-six million, five hundred seventy-eight thousand, six hundred sixty".