3342871840 has 288 divisors, whose sum is σ = 10511690112. Its totient is φ = 979968000.

The previous prime is 3342871813. The next prime is 3342871853. The reversal of 3342871840 is 481782433.

It is a super-2 number, since 2×3342871840² = 22349584277329971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3342871793 and 3342871802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2303115 + ... + 2304565.

It is an arithmetic number, because the mean of its divisors is an integer number (36498924).

Almost surely, 2^3342871840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255845056).

3342871840 is an abundant number, since it is smaller than the sum of its proper divisors (7168818272).

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

3342871840 is a wasteful number, since it uses less digits than its factorization.

3342871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 3342871840 is about 57817.5737989757. The cubic root of 3342871840 is about 1495.2250888702.

The spelling of 3342871840 in words is "three billion, three hundred forty-two million, eight hundred seventy-one thousand, eight hundred forty".