3259863900000 has 2304 divisors, whose sum is σ = 13607129088000. Its totient is φ = 754790400000.

The previous prime is 3259863899977. The next prime is 3259863900011. The reversal of 3259863900000 is 93689523.

3259863900000 is a `hidden beast` number, since 3 + 2 + 5 + 9 + 8 + 639 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41264099961 + ... + 41264100039.

It is an arithmetic number, because the mean of its divisors is an integer number (5905872000).

Almost surely, 2^{3259863900000} is an apocalyptic number.

3259863900000 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 3259863900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803564544000).

3259863900000 is an abundant number, since it is smaller than the sum of its proper divisors (10347265188000).

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

3259863900000 is a wasteful number, since it uses less digits than its factorization.

3259863900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 3259863900000 in words is "three trillion, two hundred fifty-nine billion, eight hundred sixty-three million, nine hundred thousand".