3466541520 has 360 divisors, whose sum is σ = 13027023360. Its totient is φ = 824878080.

The previous prime is 3466541501. The next prime is 3466541537. The reversal of 3466541520 is 251456643.

3466541520 is a `hidden beast` number, since 3 + 4 + 66 + 541 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3771621 + ... + 3772539.

It is an arithmetic number, because the mean of its divisors is an integer number (36186176).

Almost surely, 2^3466541520 is an apocalyptic number.

3466541520 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 3466541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513511680).

3466541520 is an abundant number, since it is smaller than the sum of its proper divisors (9560481840).

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

3466541520 is a wasteful number, since it uses less digits than its factorization.

3466541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3466541520 is about 58877.3430107032. The cubic root of 3466541520 is about 1513.4409082557.

The spelling of 3466541520 in words is "three billion, four hundred sixty-six million, five hundred forty-one thousand, five hundred twenty".