3835456272 has 100 divisors (see below), whose sum is σ = 11266863696. Its totient is φ = 1259375040.

The previous prime is 3835456271. The next prime is 3835456279. The reversal of 3835456272 is 2726545383.

3835456272 is a `hidden beast` number, since 3 + 83 + 5 + 4 + 562 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3835456271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64747 + ... + 108917.

Almost surely, 2^3835456272 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 3835456272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633431848).

3835456272 is an abundant number, since it is smaller than the sum of its proper divisors (7431407424).

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

3835456272 is a wasteful number, since it uses less digits than its factorization.

3835456272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44258 (or 44243 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 3835456272 is about 61931.0606400375. The cubic root of 3835456272 is about 1565.3291705534.

The spelling of 3835456272 in words is "three billion, eight hundred thirty-five million, four hundred fifty-six thousand, two hundred seventy-two".