3401206272 has 60 divisors (see below), whose sum is σ = 9816124890. Its totient is φ = 1133733888.

The previous prime is 3401206231. The next prime is 3401206313. The reversal of 3401206272 is 2726021043.

3401206272 is a `hidden beast` number, since 34 + 0 + 1 + 2 + 0 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3401206231) and next prime (3401206313).

It can be written as a sum of positive squares in only one way, i.e., 3224422656 + 176783616 = 56784^2 + 13296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364447 + ... + 373662.

Almost surely, 2^3401206272 is an apocalyptic number.

3401206272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3401206272 is an abundant number, since it is smaller than the sum of its proper divisors (6414918618).

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

3401206272 is an equidigital number, since it uses as much as digits as its factorization.

3401206272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738133 (or 738114 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3401206272 is about 58319.8617282311. The cubic root of 3401206272 is about 1503.8724050500.

The spelling of 3401206272 in words is "three billion, four hundred one million, two hundred six thousand, two hundred seventy-two".