343525878360 has 512 divisors, whose sum is σ = 1357655040000. Its totient is φ = 75629998080.

The previous prime is 343525878341. The next prime is 343525878389. The reversal of 343525878360 is 63878525343.

It is a happy number.

343525878360 is a `hidden beast` number, since 3 + 4 + 3 + 52 + 587 + 8 + 3 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 343525878297 and 343525878306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24479826 + ... + 24493854.

It is an arithmetic number, because the mean of its divisors is an integer number (2651670000).

Almost surely, 2^343525878360 is an apocalyptic number.

343525878360 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 343525878360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678827520000).

343525878360 is an abundant number, since it is smaller than the sum of its proper divisors (1014129161640).

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

343525878360 is a wasteful number, since it uses less digits than its factorization.

343525878360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14176 (or 14166 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 343525878360 in words is "three hundred forty-three billion, five hundred twenty-five million, eight hundred seventy-eight thousand, three hundred sixty".