3525757440 has 160 divisors (see below), whose sum is σ = 11343024000. Its totient is φ = 934232064.

The previous prime is 3525757421. The next prime is 3525757457. The reversal of 3525757440 is 447575253.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 3525757392 and 3525757401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281186 + ... + 1283934.

It is an arithmetic number, because the mean of its divisors is an integer number (70893900).

Almost surely, 2^3525757440 is an apocalyptic number.

3525757440 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 3525757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671512000).

3525757440 is an abundant number, since it is smaller than the sum of its proper divisors (7817266560).

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

3525757440 is a wasteful number, since it uses less digits than its factorization.

3525757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 42.

The square root of 3525757440 is about 59378.0888880739. The cubic root of 3525757440 is about 1522.0098988456.

The spelling of 3525757440 in words is "three billion, five hundred twenty-five million, seven hundred fifty-seven thousand, four hundred forty".