3529257480 has 320 divisors, whose sum is σ = 13784474880. Its totient is φ = 793152000.

The previous prime is 3529257463. The next prime is 3529257493. The reversal of 3529257480 is 847529253.

3529257480 is a `hidden beast` number, since 35 + 2 + 92 + 57 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1382205 + ... + 1384755.

It is an arithmetic number, because the mean of its divisors is an integer number (43076484).

Almost surely, 2^3529257480 is an apocalyptic number.

3529257480 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 3529257480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892237440).

3529257480 is an abundant number, since it is smaller than the sum of its proper divisors (10255217400).

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

3529257480 is a wasteful number, since it uses less digits than its factorization.

3529257480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3529257480 is about 59407.5540651187. The cubic root of 3529257480 is about 1522.5133683216.

The spelling of 3529257480 in words is "three billion, five hundred twenty-nine million, two hundred fifty-seven thousand, four hundred eighty".