3748680 has 160 divisors (see below), whose sum is σ = 13721400. Its totient is φ = 912384.

The previous prime is 3748669. The next prime is 3748699. The reversal of 3748680 is 868473.

It can be written as a sum of positive squares in 4 ways, for example, as 1726596 + 2022084 = 1314^2 + 1422^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42076 + ... + 42164.

Almost surely, 2^3748680 is an apocalyptic number.

3748680 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 3748680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860700).

3748680 is an abundant number, since it is smaller than the sum of its proper divisors (9972720).

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

3748680 is a wasteful number, since it uses less digits than its factorization.

3748680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3748680 is about 1936.1508205716. The cubic root of 3748680 is about 155.3433940610.

The spelling of 3748680 in words is "three million, seven hundred forty-eight thousand, six hundred eighty".