3466980 has 144 divisors (see below), whose sum is σ = 12265344. Its totient is φ = 783360.

The previous prime is 3466943. The next prime is 3467039. The reversal of 3466980 is 896643.

3466980 = T₃₃₁ + T₃₃₂ + ... + T₃₈₄.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 33609 + ... + 33711.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

Almost surely, 2^3466980 is an apocalyptic number.

3466980 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 3466980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672).

3466980 is an abundant number, since it is smaller than the sum of its proper divisors (8798364).

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

3466980 is a wasteful number, since it uses less digits than its factorization.

3466980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3466980 is about 1861.9828140990. The cubic root of 3466980 is about 151.3504716866.

The spelling of 3466980 in words is "three million, four hundred sixty-six thousand, nine hundred eighty".