3460283904 has 320 divisors, whose sum is σ = 12176220672. Its totient is φ = 845414400.

The previous prime is 3460283821. The next prime is 3460283923. The reversal of 3460283904 is 4093820643.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2009764 + ... + 2011484.

Almost surely, 2^3460283904 is an apocalyptic number.

3460283904 is a gapful number since it is divisible by the number (34) 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 3460283904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088110336).

3460283904 is an abundant number, since it is smaller than the sum of its proper divisors (8715936768).

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

3460283904 is a wasteful number, since it uses less digits than its factorization.

3460283904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3460283904 is about 58824.1778863079. The cubic root of 3460283904 is about 1512.5296987907.

The spelling of 3460283904 in words is "three billion, four hundred sixty million, two hundred eighty-three thousand, nine hundred four".