3208487040 has 384 divisors, whose sum is σ = 12258604800. Its totient is φ = 766771200.

The previous prime is 3208486987. The next prime is 3208487047. The reversal of 3208487040 is 407848023.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 3208486986 and 3208487004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3208487047) 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, 5005120 + ... + 5005760.

It is an arithmetic number, because the mean of its divisors is an integer number (31923450).

Almost surely, 2^3208487040 is an apocalyptic number.

3208487040 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 3208487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129302400).

3208487040 is an abundant number, since it is smaller than the sum of its proper divisors (9050117760).

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

3208487040 is a wasteful number, since it uses less digits than its factorization.

3208487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3208487040 is about 56643.5083659196. The cubic root of 3208487040 is about 1474.9142211918.

The spelling of 3208487040 in words is "three billion, two hundred eight million, four hundred eighty-seven thousand, forty".