3785648106240 has 4608 divisors, whose sum is σ = 19688394055680. Its totient is φ = 662490316800.

The previous prime is 3785648106221. The next prime is 3785648106241. The reversal of 3785648106240 is 426018465873.

It is a happy number.

3785648106240 is a `hidden beast` number, since 3 + 7 + 8 + 5 + 6 + 4 + 8 + 1 + 0 + 624 + 0 = 666.

It is a super-2 number, since 2×3785648106240² (a number of 26 digits) contains 22 as substring.

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 (3785648106241) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 24112408242 + ... + 24112408398.

It is an arithmetic number, because the mean of its divisors is an integer number (4272654960).

Almost surely, 2^{3785648106240} is an apocalyptic number.

3785648106240 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 3785648106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9844197027840).

3785648106240 is an abundant number, since it is smaller than the sum of its proper divisors (15902745949440).

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

3785648106240 is a wasteful number, since it uses less digits than its factorization.

3785648106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3785648106240 in words is "three trillion, seven hundred eighty-five billion, six hundred forty-eight million, one hundred six thousand, two hundred forty".