3793464 has 96 divisors (see below), whose sum is σ = 11232000. Its totient is φ = 1152576.

The previous prime is 3793463. The next prime is 3793469. The reversal of 3793464 is 4643973.

3793464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 + 9⁶ + 3¹³ + 4² + 6⁵ + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64267 + ... + 64325.

It is an arithmetic number, because the mean of its divisors is an integer number (117000).

Almost surely, 2^3793464 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 3793464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616000).

3793464 is an abundant number, since it is smaller than the sum of its proper divisors (7438536).

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

3793464 is a wasteful number, since it uses less digits than its factorization.

3793464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3793464 is about 1947.6816988410. The cubic root of 3793464 is about 155.9595555903.

The spelling of 3793464 in words is "three million, seven hundred ninety-three thousand, four hundred sixty-four".