3258356640 has 384 divisors, whose sum is σ = 13356306432. Its totient is φ = 647454720.

The previous prime is 3258356573. The next prime is 3258356653. The reversal of 3258356640 is 466538523.

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 = 3258356592 and 3258356601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 848164 + ... + 851996.

It is an arithmetic number, because the mean of its divisors is an integer number (34782048).

Almost surely, 2^3258356640 is an apocalyptic number.

3258356640 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 3258356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678153216).

3258356640 is an abundant number, since it is smaller than the sum of its proper divisors (10097949792).

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

3258356640 is a wasteful number, since it uses less digits than its factorization.

3258356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 3258356640 is about 57082.0167828713. The cubic root of 3258356640 is about 1482.5165123992.

The spelling of 3258356640 in words is "three billion, two hundred fifty-eight million, three hundred fifty-six thousand, six hundred forty".