3420268352 has 56 divisors (see below), whose sum is σ = 7434209160. Its totient is φ = 1554022400.

The previous prime is 3420268331. The next prime is 3420268361. The reversal of 3420268352 is 2538620243.

3420268352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 962488576 + 2457779776 = 31024^2 + 49576^2 .

It is a super-3 number, since 3×3420268352³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22649 + ... + 85752.

It is an arithmetic number, because the mean of its divisors is an integer number (132753735).

Almost surely, 2^3420268352 is an apocalyptic number.

3420268352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3420268352 is an abundant number, since it is smaller than the sum of its proper divisors (4013940808).

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

3420268352 is a wasteful number, since it uses less digits than its factorization.

3420268352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108459 (or 108449 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 3420268352 is about 58483.0603850380. The cubic root of 3420268352 is about 1506.6766599001.

Adding to 3420268352 its reverse (2538620243), we get a palindrome (5958888595).

The spelling of 3420268352 in words is "three billion, four hundred twenty million, two hundred sixty-eight thousand, three hundred fifty-two".