3834788106240 has 3120 divisors, whose sum is σ = 18222487557120. Its totient is φ = 762500874240.

The previous prime is 3834788106229. The next prime is 3834788106271. The reversal of 3834788106240 is 426018874383.

3834788106240 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 7 + 8 + 8 + 1 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

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 239 ways as a sum of consecutive naturals, for example, 20077424545 + ... + 20077424735.

Almost surely, 2^{3834788106240} is an apocalyptic number.

3834788106240 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 3834788106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9111243778560).

3834788106240 is an abundant number, since it is smaller than the sum of its proper divisors (14387699450880).

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

3834788106240 is a wasteful number, since it uses less digits than its factorization.

3834788106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

It can be divided in two parts, 3834788 and 106240, that added together give a triangular number (3941028 = T₂₈₀₇).

The spelling of 3834788106240 in words is "three trillion, eight hundred thirty-four billion, seven hundred eighty-eight million, one hundred six thousand, two hundred forty".