345532778280 has 192 divisors, whose sum is σ = 1147383394560. Its totient is φ = 90141617664.

The previous prime is 345532778251. The next prime is 345532778287. The reversal of 345532778280 is 82877235543.

345532778280 is a `hidden beast` number, since 3 + 4 + 553 + 2 + 7 + 7 + 8 + 2 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (345532778287) 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 47 ways as a sum of consecutive naturals, for example, 71789154 + ... + 71793966.

It is an arithmetic number, because the mean of its divisors is an integer number (5975955180).

Almost surely, 2^345532778280 is an apocalyptic number.

345532778280 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 345532778280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573691697280).

345532778280 is an abundant number, since it is smaller than the sum of its proper divisors (801850616280).

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

345532778280 is a wasteful number, since it uses less digits than its factorization.

345532778280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 345532778280 in words is "three hundred forty-five billion, five hundred thirty-two million, seven hundred seventy-eight thousand, two hundred eighty".