3354402672 has 80 divisors (see below), whose sum is σ = 9635350560. Its totient is φ = 1117324800.

The previous prime is 3354402661. The next prime is 3354402677. The reversal of 3354402672 is 2762044533.

3354402672 is a `hidden beast` number, since 3 + 354 + 40 + 267 + 2 = 666.

It is a super-2 number, since 2×3354402672² = 22504034571841479168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354402677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052922 + ... + 1056102.

It is an arithmetic number, because the mean of its divisors is an integer number (120441882).

Almost surely, 2^3354402672 is an apocalyptic number.

It is an amenable number.

3354402672 is an abundant number, since it is smaller than the sum of its proper divisors (6280947888).

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

3354402672 is a wasteful number, since it uses less digits than its factorization.

3354402672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5639 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3354402672 is about 57917.2053193177. The cubic root of 3354402672 is about 1496.9423152780.

The spelling of 3354402672 in words is "three billion, three hundred fifty-four million, four hundred two thousand, six hundred seventy-two".