345713940 has 384 divisors, whose sum is σ = 1308464640. Its totient is φ = 75271680.

The previous prime is 345713933. The next prime is 345713941. The reversal of 345713940 is 49317543.

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 = 345713895 and 345713904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345713941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9343602 + ... + 9343638.

It is an arithmetic number, because the mean of its divisors is an integer number (3407460).

Almost surely, 2^345713940 is an apocalyptic number.

345713940 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 345713940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654232320).

345713940 is an abundant number, since it is smaller than the sum of its proper divisors (962750700).

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

345713940 is a wasteful number, since it uses less digits than its factorization.

345713940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 345713940 is about 18593.3843073282. The cubic root of 345713940 is about 701.8413696652.

The spelling of 345713940 in words is "three hundred forty-five million, seven hundred thirteen thousand, nine hundred forty".