346464540 has 144 divisors (see below), whose sum is σ = 1103595360. Its totient is φ = 91352448.

The previous prime is 346464523. The next prime is 346464553. The reversal of 346464540 is 45464643.

346464540 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 645 + 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 = 346464495 and 346464504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3892816 + ... + 3892904.

Almost surely, 2^346464540 is an apocalyptic number.

346464540 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 346464540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551797680).

346464540 is an abundant number, since it is smaller than the sum of its proper divisors (757130820).

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

346464540 is an frugal number, since it uses more digits than its factorization.

346464540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 346464540 is about 18613.5579618728. The cubic root of 346464540 is about 702.3489389523.

Multiplying 346464540 by its product of nonzero digits (138240), we get a square (47895258009600 = 6920640²).

The spelling of 346464540 in words is "three hundred forty-six million, four hundred sixty-four thousand, five hundred forty".