3521617920 has 336 divisors, whose sum is σ = 12558945672. Its totient is φ = 912261120.

The previous prime is 3521617877. The next prime is 3521617921. The reversal of 3521617920 is 297161253.

3521617920 is a `hidden beast` number, since 3 + 521 + 61 + 79 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1344835584 + 2176782336 = 36672^2 + 46656^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3521617921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15114124 + ... + 15114356.

Almost surely, 2^3521617920 is an apocalyptic number.

3521617920 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 3521617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279472836).

3521617920 is an abundant number, since it is smaller than the sum of its proper divisors (9037327752).

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

3521617920 is a wasteful number, since it uses less digits than its factorization.

3521617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 3521617920 is about 59343.2213483562. The cubic root of 3521617920 is about 1521.4140119709.

The spelling of 3521617920 in words is "three billion, five hundred twenty-one million, six hundred seventeen thousand, nine hundred twenty".