3294417840 has 160 divisors (see below), whose sum is σ = 11987328000. Its totient is φ = 732644352.

The previous prime is 3294417799. The next prime is 3294417883. The reversal of 3294417840 is 487144923.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3294417792 and 3294417801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35661 + ... + 88659.

It is an arithmetic number, because the mean of its divisors is an integer number (74920800).

Almost surely, 2^3294417840 is an apocalyptic number.

3294417840 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 3294417840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993664000).

3294417840 is an abundant number, since it is smaller than the sum of its proper divisors (8692910160).

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

3294417840 is a wasteful number, since it uses less digits than its factorization.

3294417840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53059 (or 53053 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3294417840 is about 57397.0194348104. The cubic root of 3294417840 is about 1487.9656093913.

The spelling of 3294417840 in words is "three billion, two hundred ninety-four million, four hundred seventeen thousand, eight hundred forty".