3835549885440 has 1056 divisors, whose sum is σ = 15306453308160. Its totient is φ = 798267801600.

The previous prime is 3835549885393. The next prime is 3835549885459. The reversal of 3835549885440 is 445889455383.

It is a super-2 number, since 2×3835549885440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14258549626 + ... + 14258549894.

Almost surely, 2^{3835549885440} is an apocalyptic number.

3835549885440 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 3835549885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7653226654080).

3835549885440 is an abundant number, since it is smaller than the sum of its proper divisors (11470903422720).

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

3835549885440 is a wasteful number, since it uses less digits than its factorization.

3835549885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 331776000, while the sum is 66.

The spelling of 3835549885440 in words is "three trillion, eight hundred thirty-five billion, five hundred forty-nine million, eight hundred eighty-five thousand, four hundred forty".