343869873600 has 672 divisors, whose sum is σ = 1306202112000. Its totient is φ = 78324019200.

The previous prime is 343869873551. The next prime is 343869873601. The reversal of 343869873600 is 6378968343.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343869873601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127405051 + ... + 127407749.

Almost surely, 2^343869873600 is an apocalyptic number.

343869873600 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 343869873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653101056000).

343869873600 is an abundant number, since it is smaller than the sum of its proper divisors (962332238400).

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

343869873600 is a wasteful number, since it uses less digits than its factorization.

343869873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 343869873600 in words is "three hundred forty-three billion, eight hundred sixty-nine million, eight hundred seventy-three thousand, six hundred".