3841434259920 has 240 divisors, whose sum is σ = 13391006254080. Its totient is φ = 1023434445312.

The previous prime is 3841434259867. The next prime is 3841434259931. The reversal of 3841434259920 is 299524341483.

It is a happy number.

3841434259920 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 4 + 3 + 42 + 599 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21040386 + ... + 21222174.

It is an arithmetic number, because the mean of its divisors is an integer number (55795859392).

Almost surely, 2^{3841434259920} is an apocalyptic number.

3841434259920 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 3841434259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695503127040).

3841434259920 is an abundant number, since it is smaller than the sum of its proper divisors (9549571994160).

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

3841434259920 is a wasteful number, since it uses less digits than its factorization.

3841434259920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182904 (or 182886 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3841434259920 in words is "three trillion, eight hundred forty-one billion, four hundred thirty-four million, two hundred fifty-nine thousand, nine hundred twenty".