3521247840 has 576 divisors, whose sum is σ = 13857951744. Its totient is φ = 806400000.

The previous prime is 3521247833. The next prime is 3521247883. The reversal of 3521247840 is 487421253.

It is a happy number.

3521247840 is a `hidden beast` number, since 3 + 521 + 24 + 78 + 40 = 666.

3521247840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3521247795 and 3521247804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34863790 + ... + 34863890.

It is an arithmetic number, because the mean of its divisors is an integer number (24058944).

Almost surely, 2^3521247840 is an apocalyptic number.

3521247840 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 3521247840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928975872).

3521247840 is an abundant number, since it is smaller than the sum of its proper divisors (10336703904).

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

3521247840 is a wasteful number, since it uses less digits than its factorization.

3521247840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3521247840 is about 59340.1031343896. The cubic root of 3521247840 is about 1521.3607159543.

The spelling of 3521247840 in words is "three billion, five hundred twenty-one million, two hundred forty-seven thousand, eight hundred forty".