3448322496 has 224 divisors, whose sum is σ = 10424160000. Its totient is φ = 1117430784.

The previous prime is 3448322489. The next prime is 3448322503. The reversal of 3448322496 is 6942238443.

3448322496 is a `hidden beast` number, since 344 + 83 + 224 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3448322489) and next prime (3448322503).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15190735 + ... + 15190961.

Almost surely, 2^3448322496 is an apocalyptic number.

3448322496 is a gapful number since it is divisible by the number (36) 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 3448322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212080000).

3448322496 is an abundant number, since it is smaller than the sum of its proper divisors (6975837504).

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

3448322496 is a wasteful number, since it uses less digits than its factorization.

3448322496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 440 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3448322496 is about 58722.4190237425. The cubic root of 3448322496 is about 1510.7848639657.

The spelling of 3448322496 in words is "three billion, four hundred forty-eight million, three hundred twenty-two thousand, four hundred ninety-six".