3546529920 has 480 divisors, whose sum is σ = 13317141420. Its totient is φ = 898781184.

The previous prime is 3546529913. The next prime is 3546529933. The reversal of 3546529920 is 299256453.

3546529920 is a `hidden beast` number, since 35 + 4 + 6 + 529 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3460262976 + 86266944 = 58824^2 + 9288^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 82477419 + ... + 82477461.

Almost surely, 2^3546529920 is an apocalyptic number.

3546529920 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 3546529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658570710).

3546529920 is an abundant number, since it is smaller than the sum of its proper divisors (9770611500).

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

3546529920 is an equidigital number, since it uses as much as digits as its factorization.

3546529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3546529920 is about 59552.7490549345. The cubic root of 3546529920 is about 1524.9930907149.

The spelling of 3546529920 in words is "three billion, five hundred forty-six million, five hundred twenty-nine thousand, nine hundred twenty".