3322892040 has 128 divisors (see below), whose sum is σ = 10911801600. Its totient is φ = 804510720.

The previous prime is 3322892039. The next prime is 3322892047. The reversal of 3322892040 is 402982233.

It is a super-2 number, since 2×3322892040² = 22083223018990723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3322891992 and 3322892010.

It is not an unprimeable number, because it can be changed into a prime (3322892047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77701 + ... + 112619.

It is an arithmetic number, because the mean of its divisors is an integer number (85248450).

Almost surely, 2^3322892040 is an apocalyptic number.

3322892040 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 3322892040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455900800).

3322892040 is an abundant number, since it is smaller than the sum of its proper divisors (7588909560).

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

3322892040 is a wasteful number, since it uses less digits than its factorization.

3322892040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35007 (or 35003 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3322892040 is about 57644.5317441299. The cubic root of 3322892040 is about 1492.2402287441.

The spelling of 3322892040 in words is "three billion, three hundred twenty-two million, eight hundred ninety-two thousand, forty".