3400573363200 has 1320 divisors, whose sum is σ = 13705760145000. Its totient is φ = 828112896000.

The previous prime is 3400573363177. The next prime is 3400573363211. The reversal of 3400573363200 is 23633750043.

3400573363200 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 573 + 3 + 63 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 732133499904 + 2668439863296 = 855648^2 + 1633536^2 .

It is a super-2 number, since 2×3400573363200² (a number of 26 digits) 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2722636176 + ... + 2722637424.

It is an arithmetic number, because the mean of its divisors is an integer number (10383151625).

Almost surely, 2^{3400573363200} is an apocalyptic number.

3400573363200 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 3400573363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852880072500).

3400573363200 is an abundant number, since it is smaller than the sum of its proper divisors (10305186781800).

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

3400573363200 is a wasteful number, since it uses less digits than its factorization.

3400573363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The spelling of 3400573363200 in words is "three trillion, four hundred billion, five hundred seventy-three million, three hundred sixty-three thousand, two hundred".