3407633 has 8 divisors (see below), whose sum is σ = 3696840. Its totient is φ = 3128320.

The previous prime is 3407609. The next prime is 3407647. The reversal of 3407633 is 3367043.

It can be written as a sum of positive squares in 4 ways, for example, as 425104 + 2982529 = 652^2 + 1727^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3407633 - 2¹⁸ = 3145489 is a prime.

It is a super-2 number, since 2×3407633² = 23223925325378, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3407683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1748 + ... + 3141.

It is an arithmetic number, because the mean of its divisors is an integer number (462105).

Almost surely, 2^3407633 is an apocalyptic number.

It is an amenable number.

3407633 is a deficient number, since it is larger than the sum of its proper divisors (289207).

3407633 is a wasteful number, since it uses less digits than its factorization.

3407633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947.

The product of its (nonzero) digits is 4536, while the sum is 26.

The square root of 3407633 is about 1845.9775188230. The cubic root of 3407633 is about 150.4819019970.

The spelling of 3407633 in words is "three million, four hundred seven thousand, six hundred thirty-three".