346946040 has 288 divisors, whose sum is σ = 1345537440. Its totient is φ = 75893760.

The previous prime is 346946027. The next prime is 346946051. The reversal of 346946040 is 40649643.

346946040 is a `hidden beast` number, since 3 + 46 + 9 + 4 + 604 + 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 = 346945986 and 346946004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5687610 + ... + 5687670.

It is an arithmetic number, because the mean of its divisors is an integer number (4672005).

Almost surely, 2^346946040 is an apocalyptic number.

346946040 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 346946040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672768720).

346946040 is an abundant number, since it is smaller than the sum of its proper divisors (998591400).

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

346946040 is a wasteful number, since it uses less digits than its factorization.

346946040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 346946040 is about 18626.4875915992. The cubic root of 346946040 is about 702.6741521014.

The spelling of 346946040 in words is "three hundred forty-six million, nine hundred forty-six thousand, forty".