3526871040 has 864 divisors, whose sum is σ = 15730303680. Its totient is φ = 722534400.

The previous prime is 3526871039. The next prime is 3526871041. The reversal of 3526871040 is 401786253.

3526871040 is a `hidden beast` number, since 3 + 526 + 87 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3526871039) and next prime (3526871041).

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 = 3526870986 and 3526871004.

It is not an unprimeable number, because it can be changed into a prime (3526871041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49674205 + ... + 49674275.

It is an arithmetic number, because the mean of its divisors is an integer number (18206370).

Almost surely, 2^3526871040 is an apocalyptic number.

3526871040 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 3526871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865151840).

3526871040 is an abundant number, since it is smaller than the sum of its proper divisors (12203432640).

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

3526871040 is a wasteful number, since it uses less digits than its factorization.

3526871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3526871040 is about 59387.4653441280. The cubic root of 3526871040 is about 1522.1701227445.

The spelling of 3526871040 in words is "three billion, five hundred twenty-six million, eight hundred seventy-one thousand, forty".