3342511872 has 432 divisors, whose sum is σ = 11744006400. Its totient is φ = 934778880.

The previous prime is 3342511859. The next prime is 3342511937. The reversal of 3342511872 is 2781152433.

3342511872 is a `hidden beast` number, since 33 + 42 + 511 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3342511872² = 22344771228921888768, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24046779 + ... + 24046917.

It is an arithmetic number, because the mean of its divisors is an integer number (27185200).

Almost surely, 2^3342511872 is an apocalyptic number.

3342511872 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 3342511872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872003200).

3342511872 is an abundant number, since it is smaller than the sum of its proper divisors (8401494528).

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

3342511872 is a wasteful number, since it uses less digits than its factorization.

3342511872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 222 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3342511872 is about 57814.4607516147. The cubic root of 3342511872 is about 1495.1714172039.

The spelling of 3342511872 in words is "three billion, three hundred forty-two million, five hundred eleven thousand, eight hundred seventy-two".