3354453960 has 288 divisors, whose sum is σ = 11986470720. Its totient is φ = 750097920.

The previous prime is 3354453953. The next prime is 3354454013. The reversal of 3354453960 is 693544533.

It is a happy number.

It is a super-2 number, since 2×3354453960² = 22504722739519363200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2453197 + ... + 2454563.

It is an arithmetic number, because the mean of its divisors is an integer number (41619690).

Almost surely, 2^3354453960 is an apocalyptic number.

3354453960 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 3354453960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993235360).

3354453960 is an abundant number, since it is smaller than the sum of its proper divisors (8632016760).

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

3354453960 is a wasteful number, since it uses less digits than its factorization.

3354453960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The square root of 3354453960 is about 57917.6480876080. The cubic root of 3354453960 is about 1496.9499445336.

The spelling of 3354453960 in words is "three billion, three hundred fifty-four million, four hundred fifty-three thousand, nine hundred sixty".