3446449440 has 192 divisors, whose sum is σ = 13137272064. Its totient is φ = 741408768.

The previous prime is 3446449367. The next prime is 3446449451. The reversal of 3446449440 is 449446443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3446449392 and 3446449401.

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, 26952 + ... + 87288.

It is an arithmetic number, because the mean of its divisors is an integer number (68423292).

Almost surely, 2^3446449440 is an apocalyptic number.

3446449440 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 3446449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568636032).

3446449440 is an abundant number, since it is smaller than the sum of its proper divisors (9690822624).

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

3446449440 is a wasteful number, since it uses less digits than its factorization.

3446449440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60379 (or 60371 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The square root of 3446449440 is about 58706.4684681339. The cubic root of 3446449440 is about 1510.5112722728.

The spelling of 3446449440 in words is "three billion, four hundred forty-six million, four hundred forty-nine thousand, four hundred forty".