3403121904 has 240 divisors, whose sum is σ = 12090297600. Its totient is φ = 897391872.

The previous prime is 3403121851. The next prime is 3403121921. The reversal of 3403121904 is 4091213043.

3403121904 is a `hidden beast` number, since 340 + 312 + 1 + 9 + 0 + 4 = 666.

3403121904 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507727 + ... + 514385.

It is an arithmetic number, because the mean of its divisors is an integer number (50376240).

Almost surely, 2^3403121904 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 3403121904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045148800).

3403121904 is an abundant number, since it is smaller than the sum of its proper divisors (8687175696).

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

3403121904 is a wasteful number, since it uses less digits than its factorization.

3403121904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3403121904 is about 58336.2829120951. The cubic root of 3403121904 is about 1504.1546897442.

Adding to 3403121904 its reverse (4091213043), we get a palindrome (7494334947).

It can be divided in two parts, 3403121 and 904, that added together give a square (3404025 = 1845²).

The spelling of 3403121904 in words is "three billion, four hundred three million, one hundred twenty-one thousand, nine hundred four".