3466958880 has 384 divisors, whose sum is σ = 14335211520. Its totient is φ = 682352640.

The previous prime is 3466958879. The next prime is 3466958909. The reversal of 3466958880 is 888596643.

It is a super-2 number, since 2×3466958880² = 24039607751221708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 3466958880.

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 63 ways as a sum of consecutive naturals, for example, 699772 + ... + 704708.

It is an arithmetic number, because the mean of its divisors is an integer number (37331280).

Almost surely, 2^3466958880 is an apocalyptic number.

3466958880 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 3466958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167605760).

3466958880 is an abundant number, since it is smaller than the sum of its proper divisors (10868252640).

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

3466958880 is a wasteful number, since it uses less digits than its factorization.

3466958880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The square root of 3466958880 is about 58880.8872215764. The cubic root of 3466958880 is about 1513.5016435588.

The spelling of 3466958880 in words is "three billion, four hundred sixty-six million, nine hundred fifty-eight thousand, eight hundred eighty".