3521249280 has 288 divisors, whose sum is σ = 12582864000. Its totient is φ = 934281216.

The previous prime is 3521249279. The next prime is 3521249293. The reversal of 3521249280 is 829421253.

It is a happy number.

3521249280 is a `hidden beast` number, since 352 + 1 + 24 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694621 + ... + 17694819.

It is an arithmetic number, because the mean of its divisors is an integer number (43690500).

Almost surely, 2^3521249280 is an apocalyptic number.

3521249280 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 3521249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291432000).

3521249280 is an abundant number, since it is smaller than the sum of its proper divisors (9061614720).

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

3521249280 is an frugal number, since it uses more digits than its factorization.

3521249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3521249280 is about 59340.1152678355. The cubic root of 3521249280 is about 1521.3609233390.

The spelling of 3521249280 in words is "three billion, five hundred twenty-one million, two hundred forty-nine thousand, two hundred eighty".