3448596480 has 576 divisors, whose sum is σ = 13444704000. Its totient is φ = 751435776.

The previous prime is 3448596479. The next prime is 3448596497. The reversal of 3448596480 is 846958443.

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, 43653081 + ... + 43653159.

It is an arithmetic number, because the mean of its divisors is an integer number (23341500).

Almost surely, 2^3448596480 is an apocalyptic number.

3448596480 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 3448596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352000).

3448596480 is an abundant number, since it is smaller than the sum of its proper divisors (9996107520).

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

3448596480 is a wasteful number, since it uses less digits than its factorization.

3448596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The square root of 3448596480 is about 58724.7518513276. The cubic root of 3448596480 is about 1510.8248756833.

The spelling of 3448596480 in words is "three billion, four hundred forty-eight million, five hundred ninety-six thousand, four hundred eighty".