3354205440 has 144 divisors (see below), whose sum is σ = 10763278848. Its totient is φ = 890216448.

The previous prime is 3354205433. The next prime is 3354205471. The reversal of 3354205440 is 445024533.

It is a super-2 number, since 2×3354205440² = 22501388267451187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3354205398 and 3354205407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854362 + ... + 858278.

It is an arithmetic number, because the mean of its divisors is an integer number (74744992).

Almost surely, 2^3354205440 is an apocalyptic number.

3354205440 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 3354205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381639424).

3354205440 is an abundant number, since it is smaller than the sum of its proper divisors (7409073408).

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

3354205440 is a wasteful number, since it uses less digits than its factorization.

3354205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3354205440 is about 57915.5025878219. The cubic root of 3354205440 is about 1496.9129756565.

Adding to 3354205440 its reverse (445024533), we get a palindrome (3799229973).

The spelling of 3354205440 in words is "three billion, three hundred fifty-four million, two hundred five thousand, four hundred forty".