3420556800 has 240 divisors, whose sum is σ = 11375579952. Its totient is φ = 906035200.

The previous prime is 3420556787. The next prime is 3420556807. The reversal of 3420556800 is 86550243.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420556807) 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 23 ways as a sum of consecutive naturals, for example, 10790242 + ... + 10790558.

Almost surely, 2^3420556800 is an apocalyptic number.

3420556800 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 3420556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687789976).

3420556800 is an abundant number, since it is smaller than the sum of its proper divisors (7955023152).

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

3420556800 is a wasteful number, since it uses less digits than its factorization.

3420556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 3420556800 is about 58485.5264146609. The cubic root of 3420556800 is about 1506.7190138529.

It can be divided in two parts, 3 and 420556800, that multiplied together give a square (1261670400 = 35520²).

The spelling of 3420556800 in words is "three billion, four hundred twenty million, five hundred fifty-six thousand, eight hundred".