343400264820 has 36 divisors (see below), whose sum is σ = 1041647470500. Its totient is φ = 91573403904.

The previous prime is 343400264773. The next prime is 343400264821. The reversal of 343400264820 is 28462004343.

343400264820 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 0 + 0 + 2 + 648 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67611440484 + 275788824336 = 260022^2 + 525156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×343400264820² (a number of 24 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 not an unprimeable number, because it can be changed into a prime (343400264821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 953889445 + ... + 953889804.

Almost surely, 2^343400264820 is an apocalyptic number.

343400264820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343400264820 is an abundant number, since it is smaller than the sum of its proper divisors (698247205680).

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

343400264820 is a wasteful number, since it uses less digits than its factorization.

343400264820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907779264 (or 1907779259 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 343400264820 in words is "three hundred forty-three billion, four hundred million, two hundred sixty-four thousand, eight hundred twenty".