3526525440 has 240 divisors, whose sum is σ = 12280296600. Its totient is φ = 935264256.

The previous prime is 3526525427. The next prime is 3526525487. The reversal of 3526525440 is 445256253.

3526525440 is a `hidden beast` number, since 3 + 52 + 65 + 2 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1327290624 + 2199234816 = 36432^2 + 46896^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3526525395 and 3526525404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6197476 + ... + 6198044.

Almost surely, 2^3526525440 is an apocalyptic number.

3526525440 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 3526525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140148300).

3526525440 is an abundant number, since it is smaller than the sum of its proper divisors (8753771160).

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

3526525440 is a wasteful number, since it uses less digits than its factorization.

3526525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 3526525440 is about 59384.5555679252. Note that the first 4 decimals coincide. The cubic root of 3526525440 is about 1522.1204016960.

The spelling of 3526525440 in words is "three billion, five hundred twenty-six million, five hundred twenty-five thousand, four hundred forty".