346561740 has 288 divisors, whose sum is σ = 1273918464. Its totient is φ = 77448960.

The previous prime is 346561601. The next prime is 346561751. The reversal of 346561740 is 47165643.

It is a happy number.

346561740 is a `hidden beast` number, since 34 + 6 + 5 + 617 + 4 + 0 = 666.

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 = 346561695 and 346561704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2075137 + ... + 2075303.

It is an arithmetic number, because the mean of its divisors is an integer number (4423328).

Almost surely, 2^346561740 is an apocalyptic number.

346561740 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 346561740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636959232).

346561740 is an abundant number, since it is smaller than the sum of its proper divisors (927356724).

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

346561740 is a wasteful number, since it uses less digits than its factorization.

346561740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 346561740 is about 18616.1687787794. The cubic root of 346561740 is about 702.4146137192.

The spelling of 346561740 in words is "three hundred forty-six million, five hundred sixty-one thousand, seven hundred forty".