3736480 has 72 divisors (see below), whose sum is σ = 9753156. Its totient is φ = 1351680.

The previous prime is 3736477. The next prime is 3736501. The reversal of 3736480 is 846373.

It can be written as a sum of positive squares in 2 ways, for example, as 3579664 + 156816 = 1892^2 + 396^2 .

It is a super-2 number, since 2×3736480² = 27922565580800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19264 + ... + 19456.

Almost surely, 2^3736480 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 3736480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876578).

3736480 is an abundant number, since it is smaller than the sum of its proper divisors (6016676).

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

3736480 is a wasteful number, since it uses less digits than its factorization.

3736480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 3736480 is about 1932.9976720110. The cubic root of 3736480 is about 155.1746903143.

The spelling of 3736480 in words is "three million, seven hundred thirty-six thousand, four hundred eighty".