3355060800 has 336 divisors, whose sum is σ = 13549327232. Its totient is φ = 707788800.

The previous prime is 3355060799. The next prime is 3355060811. The reversal of 3355060800 is 80605533.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3355060800² = 22512865943393280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432960 + ... + 440640.

Almost surely, 2^3355060800 is an apocalyptic number.

3355060800 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 3355060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774663616).

3355060800 is an abundant number, since it is smaller than the sum of its proper divisors (10194266432).

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

3355060800 is a wasteful number, since it uses less digits than its factorization.

3355060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3355060800 is about 57922.8866683973. The cubic root of 3355060800 is about 1497.0402080401.

The spelling of 3355060800 in words is "three billion, three hundred fifty-five million, sixty thousand, eight hundred".