346991064 has 128 divisors (see below), whose sum is σ = 1047168000. Its totient is φ = 93671424.

The previous prime is 346991059. The next prime is 346991081. The reversal of 346991064 is 460199643.

346991064 = T₂₇₂ + T₂₇₃ + ... + T₁₂₈₀.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343392 + ... + 344400.

It is an arithmetic number, because the mean of its divisors is an integer number (8181000).

Almost surely, 2^346991064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346991064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523584000).

346991064 is an abundant number, since it is smaller than the sum of its proper divisors (700176936).

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

346991064 is a wasteful number, since it uses less digits than its factorization.

346991064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 346991064 is about 18627.6961538458. The cubic root of 346991064 is about 702.7045466766.

The spelling of 346991064 in words is "three hundred forty-six million, nine hundred ninety-one thousand, sixty-four".