3354411600 has 90 divisors (see below), whose sum is σ = 11640752526. Its totient is φ = 894508800.

The previous prime is 3354411589. The next prime is 3354411607. The reversal of 3354411600 is 61144533.

3354411600 is a `hidden beast` number, since 3 + 3 + 5 + 44 + 11 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 855211536 + 2499200064 = 29244^2 + 49992^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3354411600² = 22504154364429120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354411607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 462291 + ... + 469490.

Almost surely, 2^3354411600 is an apocalyptic number.

3354411600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3354411600 is an abundant number, since it is smaller than the sum of its proper divisors (8286340926).

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

3354411600 is a wasteful number, since it uses less digits than its factorization.

3354411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931805 (or 931791 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3354411600 is about 57917.2823948085. The cubic root of 3354411600 is about 1496.9436433524.

It can be divided in two parts, 335 and 4411600, that added together give a triangular number (4411935 = T₂₉₇₀).

The spelling of 3354411600 in words is "three billion, three hundred fifty-four million, four hundred eleven thousand, six hundred".