3354549120 has 512 divisors, whose sum is σ = 13006224000. Its totient is φ = 812187648.

The previous prime is 3354549097. The next prime is 3354549137. The reversal of 3354549120 is 219454533.

3354549120 is a `hidden beast` number, since 3 + 3 + 545 + 4 + 91 + 20 = 666.

3354549120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3354549120² = 22505999596985548800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24485692 + ... + 24485828.

Almost surely, 2^3354549120 is an apocalyptic number.

3354549120 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 3354549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503112000).

3354549120 is an abundant number, since it is smaller than the sum of its proper divisors (9651674880).

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

3354549120 is a wasteful number, since it uses less digits than its factorization.

3354549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3354549120 is about 57918.4695930409. The cubic root of 3354549120 is about 1496.9640996848.

The spelling of 3354549120 in words is "three billion, three hundred fifty-four million, five hundred forty-nine thousand, one hundred twenty".