3404033640 has 256 divisors, whose sum is σ = 13040524800. Its totient is φ = 773701632.

The previous prime is 3404033629. The next prime is 3404033653. The reversal of 3404033640 is 463304043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1457914 + ... + 1460246.

It is an arithmetic number, because the mean of its divisors is an integer number (50939550).

Almost surely, 2^3404033640 is an apocalyptic number.

3404033640 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 3404033640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520262400).

3404033640 is an abundant number, since it is smaller than the sum of its proper divisors (9636491160).

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

3404033640 is a wasteful number, since it uses less digits than its factorization.

3404033640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3404033640 is about 58344.0968736341. The cubic root of 3404033640 is about 1504.2890046043.

Adding to 3404033640 its reverse (463304043), we get a palindrome (3867337683).

The spelling of 3404033640 in words is "three billion, four hundred four million, thirty-three thousand, six hundred forty".