3747456 has 48 divisors (see below), whose sum is σ = 10787010. Its totient is φ = 1248768.

The previous prime is 3747431. The next prime is 3747479. The reversal of 3747456 is 6547473.

It can be written as a sum of positive squares in only one way, i.e., 2005056 + 1742400 = 1416^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a d-powerful number, because it can be written as 3¹³ + 7² + 4⁵ + 7⁷ + 4¹⁰ + 5 + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 3747456.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 475 + ... + 2778.

Almost surely, 2^3747456 is an apocalyptic number.

3747456 is a gapful number since it is divisible by the number (36) 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 3747456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393505).

3747456 is an abundant number, since it is smaller than the sum of its proper divisors (7039554).

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

3747456 is a wasteful number, since it uses less digits than its factorization.

3747456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3258 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 3747456 is about 1935.8347036873. The cubic root of 3747456 is about 155.3264849079.

The spelling of 3747456 in words is "three million, seven hundred forty-seven thousand, four hundred fifty-six".