3354445440 has 512 divisors, whose sum is σ = 13263264000. Its totient is φ = 796262400.

The previous prime is 3354445433. The next prime is 3354445441. The reversal of 3354445440 is 445444533.

3354445440 is a `hidden beast` number, since 33 + 544 + 45 + 4 + 40 = 666.

It is a super-2 number, since 2×3354445440² = 22504608419873587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3354445395 and 3354445404.

It is not an unprimeable number, because it can be changed into a prime (3354445441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5581140 + ... + 5581740.

Almost surely, 2^3354445440 is an apocalyptic number.

3354445440 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 3354445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631632000).

3354445440 is an abundant number, since it is smaller than the sum of its proper divisors (9908818560).

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

3354445440 is a wasteful number, since it uses less digits than its factorization.

3354445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The square root of 3354445440 is about 57917.5745348508. The cubic root of 3354445440 is about 1496.9486771614.

Adding to 3354445440 its reverse (445444533), we get a palindrome (3799889973).

The spelling of 3354445440 in words is "three billion, three hundred fifty-four million, four hundred forty-five thousand, four hundred forty".