3342844080 has 420 divisors, whose sum is σ = 12314979648. Its totient is φ = 842607360.

The previous prime is 3342844067. The next prime is 3342844133. The reversal of 3342844080 is 804482433.

3342844080 is a `hidden beast` number, since 334 + 284 + 40 + 8 + 0 = 666.

3342844080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3342844080² = 22349213086382092800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 77740539 + ... + 77740581.

Almost surely, 2^3342844080 is an apocalyptic number.

3342844080 is a gapful number since it is divisible by the number (30) 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 3342844080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157489824).

3342844080 is an abundant number, since it is smaller than the sum of its proper divisors (8972135568).

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

3342844080 is an equidigital number, since it uses as much as digits as its factorization.

3342844080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3342844080 is about 57817.3337330597. Note that the first 3 decimals coincide. The cubic root of 3342844080 is about 1495.2209499575.

The spelling of 3342844080 in words is "three billion, three hundred forty-two million, eight hundred forty-four thousand, eighty".