3253617540 has 72 divisors (see below), whose sum is σ = 10036615680. Its totient is φ = 852922944.

The previous prime is 3253617527. The next prime is 3253617547. The reversal of 3253617540 is 457163523.

3253617540 is a `hidden beast` number, since 3 + 2 + 53 + 61 + 7 + 540 = 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 = 3253617495 and 3253617504.

It is not an unprimeable number, because it can be changed into a prime (3253617547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142564 + ... + 163803.

It is an arithmetic number, because the mean of its divisors is an integer number (139397440).

Almost surely, 2^3253617540 is an apocalyptic number.

3253617540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3253617540 is an abundant number, since it is smaller than the sum of its proper divisors (6782998140).

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

3253617540 is a wasteful number, since it uses less digits than its factorization.

3253617540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306441 (or 306436 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3253617540 is about 57040.4903555360. The cubic root of 3253617540 is about 1481.7974174949.

The spelling of 3253617540 in words is "three billion, two hundred fifty-three million, six hundred seventeen thousand, five hundred forty".