346991040 has 280 divisors, whose sum is σ = 1347624432. Its totient is φ = 84049920.

The previous prime is 346991023. The next prime is 346991059. The reversal of 346991040 is 40199643.

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 = 346990986 and 346991004.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 284512 + ... + 285728.

Almost surely, 2^346991040 is an apocalyptic number.

346991040 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 346991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673812216).

346991040 is an abundant number, since it is smaller than the sum of its proper divisors (1000633392).

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

346991040 is a wasteful number, since it uses less digits than its factorization.

346991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 346991040 is about 18627.6955096437. The cubic root of 346991040 is about 702.7045304755.

The spelling of 346991040 in words is "three hundred forty-six million, nine hundred ninety-one thousand, forty".