3255219601920 has 3840 divisors, whose sum is σ = 15062083964928. Its totient is φ = 662171811840.

The previous prime is 3255219601903. The next prime is 3255219601961. The reversal of 3255219601920 is 291069125523.

3255219601920 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 2 + 19 + 601 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

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, 75702781419 + ... + 75702781461.

Almost surely, 2^{3255219601920} is an apocalyptic number.

3255219601920 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 3255219601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531041982464).

3255219601920 is an abundant number, since it is smaller than the sum of its proper divisors (11806864363008).

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

3255219601920 is a wasteful number, since it uses less digits than its factorization.

3255219601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 3255219601920 in words is "three trillion, two hundred fifty-five billion, two hundred nineteen million, six hundred one thousand, nine hundred twenty".