3400551820800 has 360 divisors, whose sum is σ = 12428584492896. Its totient is φ = 887518494720.

The previous prime is 3400551820789. The next prime is 3400551820807. The reversal of 3400551820800 is 80281550043.

It is a happy number.

3400551820800 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 551 + 8 + 20 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400551820807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5100372 + ... + 5728428.

Almost surely, 2^{3400551820800} is an apocalyptic number.

3400551820800 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 3400551820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214292246448).

3400551820800 is an abundant number, since it is smaller than the sum of its proper divisors (9028032672096).

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

3400551820800 is a wasteful number, since it uses less digits than its factorization.

3400551820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628138 (or 628114 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 3400551820800 in words is "three trillion, four hundred billion, five hundred fifty-one million, eight hundred twenty thousand, eight hundred".