3525247440 has 640 divisors, whose sum is σ = 14534069760. Its totient is φ = 774144000.

The previous prime is 3525247423. The next prime is 3525247477. The reversal of 3525247440 is 447425253.

3525247440 is a `hidden beast` number, since 3 + 525 + 24 + 74 + 40 = 666.

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 = 3525247395 and 3525247404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31196824 + ... + 31196936.

It is an arithmetic number, because the mean of its divisors is an integer number (22709484).

Almost surely, 2^3525247440 is an apocalyptic number.

3525247440 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 3525247440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267034880).

3525247440 is an abundant number, since it is smaller than the sum of its proper divisors (11008822320).

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

3525247440 is a wasteful number, since it uses less digits than its factorization.

3525247440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 3525247440 is about 59373.7942193355. The cubic root of 3525247440 is about 1521.9365091801.

The spelling of 3525247440 in words is "three billion, five hundred twenty-five million, two hundred forty-seven thousand, four hundred forty".