3835614464748 has 144 divisors (see below), whose sum is σ = 10895694351360. Its totient is φ = 1127475676800.

The previous prime is 3835614464729. The next prime is 3835614464749. The reversal of 3835614464748 is 8474644165383.

3835614464748 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 614 + 4 + 6 + 4 + 7 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3835614464749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4454373 + ... + 5245251.

Almost surely, 2^{3835614464748} 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 3835614464748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447847175680).

3835614464748 is an abundant number, since it is smaller than the sum of its proper divisors (7060079886612).

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

3835614464748 is a wasteful number, since it uses less digits than its factorization.

3835614464748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791268 (or 791263 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 3835614464748 in words is "three trillion, eight hundred thirty-five billion, six hundred fourteen million, four hundred sixty-four thousand, seven hundred forty-eight".