3208770540 has 144 divisors (see below), whose sum is σ = 10599170400. Its totient is φ = 782659584.

The previous prime is 3208770533. The next prime is 3208770541. The reversal of 3208770540 is 450778023.

3208770540 is a `hidden beast` number, since 32 + 0 + 87 + 7 + 0 + 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 = 3208770495 and 3208770504.

It is not an unprimeable number, because it can be changed into a prime (3208770541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83004 + ... + 115356.

It is an arithmetic number, because the mean of its divisors is an integer number (73605350).

Almost surely, 2^3208770540 is an apocalyptic number.

3208770540 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 3208770540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299585200).

3208770540 is an abundant number, since it is smaller than the sum of its proper divisors (7390399860).

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

3208770540 is a wasteful number, since it uses less digits than its factorization.

3208770540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32416 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 3208770540 is about 56646.0108039392. The cubic root of 3208770540 is about 1474.9576607592.

The spelling of 3208770540 in words is "three billion, two hundred eight million, seven hundred seventy thousand, five hundred forty".