3525223680 has 540 divisors, whose sum is σ = 13914200916. Its totient is φ = 851558400.

The previous prime is 3525223679. The next prime is 3525223699. The reversal of 3525223680 is 863225253.

3525223680 is a `hidden beast` number, since 3 + 52 + 522 + 3 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1829101824 + 1696121856 = 42768^2 + 41184^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 12545140 + ... + 12545420.

Almost surely, 2^3525223680 is an apocalyptic number.

3525223680 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 3525223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957100458).

3525223680 is an abundant number, since it is smaller than the sum of its proper divisors (10388977236).

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

3525223680 is a wasteful number, since it uses less digits than its factorization.

3525223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 302 counting only the distinct ones).

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

The square root of 3525223680 is about 59373.5941307245. The cubic root of 3525223680 is about 1521.9330899125.

The spelling of 3525223680 in words is "three billion, five hundred twenty-five million, two hundred twenty-three thousand, six hundred eighty".