345736781840 has 80 divisors (see below), whose sum is σ = 822406529280. Its totient is φ = 135136235520.

The previous prime is 345736781833. The next prime is 345736781849. The reversal of 345736781840 is 48187637543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (345736781849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331055 + ... + 895025.

It is an arithmetic number, because the mean of its divisors is an integer number (10280081616).

Almost surely, 2^345736781840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345736781840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411203264640).

345736781840 is an abundant number, since it is smaller than the sum of its proper divisors (476669747440).

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

345736781840 is a wasteful number, since it uses less digits than its factorization.

345736781840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564160 (or 564154 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 345736781840 in words is "three hundred forty-five billion, seven hundred thirty-six million, seven hundred eighty-one thousand, eight hundred forty".