3424358384640 has 440 divisors, whose sum is σ = 12290199217560. Its totient is φ = 911731064832.

The previous prime is 3424358384633. The next prime is 3424358384641. The reversal of 3424358384640 is 464838534243.

3424358384640 is a `hidden beast` number, since 3 + 424 + 3 + 5 + 83 + 84 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 812074927104 + 2612283457536 = 901152^2 + 1616256^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3424358384641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279100426 + ... + 279112694.

It is an arithmetic number, because the mean of its divisors is an integer number (27932270949).

Almost surely, 2^{3424358384640} is an apocalyptic number.

3424358384640 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 3424358384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145099608780).

3424358384640 is an abundant number, since it is smaller than the sum of its proper divisors (8865840832920).

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

3424358384640 is a wasteful number, since it uses less digits than its factorization.

3424358384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12979 (or 12952 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 3424358384640 in words is "three trillion, four hundred twenty-four billion, three hundred fifty-eight million, three hundred eighty-four thousand, six hundred forty".