3840923651040 has 2304 divisors, whose sum is σ = 16861396285440. Its totient is φ = 812386713600.

The previous prime is 3840923651039. The next prime is 3840923651161. The reversal of 3840923651040 is 401563290483.

3840923651040 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 92 + 3 + 6 + 510 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35896482667 + ... + 35896482773.

It is an arithmetic number, because the mean of its divisors is an integer number (7318314360).

Almost surely, 2^{3840923651040} is an apocalyptic number.

3840923651040 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 3840923651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430698142720).

3840923651040 is an abundant number, since it is smaller than the sum of its proper divisors (13020472634400).

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

3840923651040 is a wasteful number, since it uses less digits than its factorization.

3840923651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3840923651040 in words is "three trillion, eight hundred forty billion, nine hundred twenty-three million, six hundred fifty-one thousand, forty".