3835637200768 has 128 divisors (see below), whose sum is σ = 8341815767040. Its totient is φ = 1751611699200.

The previous prime is 3835637200763. The next prime is 3835637200853. The reversal of 3835637200768 is 8670027365383.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3835637200768² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835637200763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5335033 + ... + 6011143.

It is an arithmetic number, because the mean of its divisors is an integer number (65170435680).

Almost surely, 2^{3835637200768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835637200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170907883520).

3835637200768 is an abundant number, since it is smaller than the sum of its proper divisors (4506178566272).

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

3835637200768 is a wasteful number, since it uses less digits than its factorization.

3835637200768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676236 (or 676224 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 58.

The spelling of 3835637200768 in words is "three trillion, eight hundred thirty-five billion, six hundred thirty-seven million, two hundred thousand, seven hundred sixty-eight".