346783140 has 192 divisors, whose sum is σ = 1193472000. Its totient is φ = 82892160.

The previous prime is 346783123. The next prime is 346783147. The reversal of 346783140 is 41387643.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 346783095 and 346783104.

It is not an unprimeable number, because it can be changed into a prime (346783147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468891 + ... + 469629.

It is an arithmetic number, because the mean of its divisors is an integer number (6216000).

Almost surely, 2^346783140 is an apocalyptic number.

346783140 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 346783140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596736000).

346783140 is an abundant number, since it is smaller than the sum of its proper divisors (846688860).

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

346783140 is a wasteful number, since it uses less digits than its factorization.

346783140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 346783140 is about 18622.1142730894. The cubic root of 346783140 is about 702.5641604161.

The spelling of 346783140 in words is "three hundred forty-six million, seven hundred eighty-three thousand, one hundred forty".