3466501920 has 576 divisors, whose sum is σ = 14371209216. Its totient is φ = 772623360.

The previous prime is 3466501919. The next prime is 3466501963. The reversal of 3466501920 is 291056643.

It is a happy number.

3466501920 is a `hidden beast` number, since 3 + 4 + 66 + 501 + 92 + 0 = 666.

It is a super-2 number, since 2×3466501920² = 24033271122727372800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12791385 + ... + 12791655.

It is an arithmetic number, because the mean of its divisors is an integer number (24950016).

Almost surely, 2^3466501920 is an apocalyptic number.

3466501920 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 3466501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185604608).

3466501920 is an abundant number, since it is smaller than the sum of its proper divisors (10904707296).

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

3466501920 is a wasteful number, since it uses less digits than its factorization.

3466501920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3466501920 is about 58877.0067173935. The cubic root of 3466501920 is about 1513.4351453084.

The spelling of 3466501920 in words is "three billion, four hundred sixty-six million, five hundred one thousand, nine hundred twenty".