346487040 has 216 divisors, whose sum is σ = 1262701440. Its totient is φ = 87478272.

The previous prime is 346487027. The next prime is 346487087. The reversal of 346487040 is 40784643.

346487040 is a `hidden beast` number, since 3 + 4 + 648 + 7 + 0 + 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 = 346486986 and 346487004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218089 + ... + 219671.

It is an arithmetic number, because the mean of its divisors is an integer number (5845840).

Almost surely, 2^346487040 is an apocalyptic number.

346487040 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 346487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631350720).

346487040 is an abundant number, since it is smaller than the sum of its proper divisors (916214400).

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

346487040 is a wasteful number, since it uses less digits than its factorization.

346487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 346487040 is about 18614.1623502107. The cubic root of 346487040 is about 702.3641425371.

The spelling of 346487040 in words is "three hundred forty-six million, four hundred eighty-seven thousand, forty".