3259948032000 has 1568 divisors, whose sum is σ = 13341433925664. Its totient is φ = 788299776000.

The previous prime is 3259948031993. The next prime is 3259948032013. The reversal of 3259948032000 is 2308499523.

It is a happy number.

3259948032000 is a `hidden beast` number, since 32 + 599 + 4 + 8 + 0 + 3 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×3259948032000² (a number of 26 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 8211455802 + ... + 8211456198.

Almost surely, 2^{3259948032000} is an apocalyptic number.

3259948032000 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 3259948032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670716962832).

3259948032000 is an abundant number, since it is smaller than the sum of its proper divisors (10081485893664).

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

3259948032000 is an frugal number, since it uses more digits than its factorization.

3259948032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3259948032000 in words is "three trillion, two hundred fifty-nine billion, nine hundred forty-eight million, thirty-two thousand".