3385654272 has 528 divisors, whose sum is σ = 13161587712. Its totient is φ = 809533440.

The previous prime is 3385654249. The next prime is 3385654273. The reversal of 3385654272 is 2724565833.

3385654272 is a `hidden beast` number, since 3 + 38 + 5 + 6 + 542 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×3385654272² = 22925309699023699968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385654273) 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, 9225033 + ... + 9225399.

Almost surely, 2^3385654272 is an apocalyptic number.

3385654272 is a gapful number since it is divisible by the number (32) 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 3385654272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580793856).

3385654272 is an abundant number, since it is smaller than the sum of its proper divisors (9775933440).

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

3385654272 is a wasteful number, since it uses less digits than its factorization.

3385654272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 403 counting only the distinct ones).

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

The square root of 3385654272 is about 58186.3753124389. The cubic root of 3385654272 is about 1501.5767526533.

The spelling of 3385654272 in words is "three billion, three hundred eighty-five million, six hundred fifty-four thousand, two hundred seventy-two".