3428933976 has 192 divisors, whose sum is σ = 10319400000. Its totient is φ = 1021870080.

The previous prime is 3428933947. The next prime is 3428934007. The reversal of 3428933976 is 6793398243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7636600 + ... + 7637048.

It is an arithmetic number, because the mean of its divisors is an integer number (53746875).

Almost surely, 2^3428933976 is an apocalyptic number.

3428933976 is a gapful number since it is divisible by the number (36) 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 3428933976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159700000).

3428933976 is an abundant number, since it is smaller than the sum of its proper divisors (6890466024).

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

3428933976 is a wasteful number, since it uses less digits than its factorization.

3428933976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 707 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3428933976 is about 58557.1001331179. The cubic root of 3428933976 is about 1507.9480301612.

It can be divided in two parts, 34289 and 33976, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 3428933976 in words is "three billion, four hundred twenty-eight million, nine hundred thirty-three thousand, nine hundred seventy-six".