3835249367040 has 2304 divisors, whose sum is σ = 17411882342400. Its totient is φ = 758636347392.

The previous prime is 3835249367039. The next prime is 3835249367057. The reversal of 3835249367040 is 407639425383.

3835249367040 is a `hidden beast` number, since 3 + 8 + 3 + 52 + 493 + 67 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11380561752 + ... + 11380562088.

It is an arithmetic number, because the mean of its divisors is an integer number (7557240600).

Almost surely, 2^{3835249367040} is an apocalyptic number.

3835249367040 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 3835249367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705941171200).

3835249367040 is an abundant number, since it is smaller than the sum of its proper divisors (13576632975360).

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

3835249367040 is a wasteful number, since it uses less digits than its factorization.

3835249367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3835249367040 in words is "three trillion, eight hundred thirty-five billion, two hundred forty-nine million, three hundred sixty-seven thousand, forty".