3240419857920 has 960 divisors, whose sum is σ = 13152298199040. Its totient is φ = 721939267584.

The previous prime is 3240419857901. The next prime is 3240419857949. The reversal of 3240419857920 is 297589140423.

3240419857920 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 41 + 9 + 8 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2220986151 + ... + 2220987609.

It is an arithmetic number, because the mean of its divisors is an integer number (13700310624).

Almost surely, 2^{3240419857920} is an apocalyptic number.

3240419857920 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 3240419857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576149099520).

3240419857920 is an abundant number, since it is smaller than the sum of its proper divisors (9911878341120).

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

3240419857920 is a wasteful number, since it uses less digits than its factorization.

3240419857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3240419857920 in words is "three trillion, two hundred forty billion, four hundred nineteen million, eight hundred fifty-seven thousand, nine hundred twenty".