3205499640 has 256 divisors, whose sum is σ = 11460096000. Its totient is φ = 716663808.

The previous prime is 3205499639. The next prime is 3205499657. The reversal of 3205499640 is 469945023.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3205499592 and 3205499601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1933692 + ... + 1935348.

It is an arithmetic number, because the mean of its divisors is an integer number (44766000).

Almost surely, 2^3205499640 is an apocalyptic number.

3205499640 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 3205499640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730048000).

3205499640 is an abundant number, since it is smaller than the sum of its proper divisors (8254596360).

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

3205499640 is a wasteful number, since it uses less digits than its factorization.

3205499640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3205499640 is about 56617.1320361602. The cubic root of 3205499640 is about 1474.4563182496.

The spelling of 3205499640 in words is "three billion, two hundred five million, four hundred ninety-nine thousand, six hundred forty".