3405970944 has 200 divisors, whose sum is σ = 10766150208. Its totient is φ = 1068318720.

The previous prime is 3405970943. The next prime is 3405970999. The reversal of 3405970944 is 4490795043.

It is a happy number.

It is a super-2 number, since 2×3405970944² = 23201276142744502272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3405970944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405970943) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 702609 + ... + 707439.

Almost surely, 2^3405970944 is an apocalyptic number.

3405970944 is a gapful number since it is divisible by the number (34) 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 3405970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383075104).

3405970944 is an abundant number, since it is smaller than the sum of its proper divisors (7360179264).

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

3405970944 is an equidigital number, since it uses as much as digits as its factorization.

3405970944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3405970944 is about 58360.6969115346. The cubic root of 3405970944 is about 1504.5743241921.

The spelling of 3405970944 in words is "three billion, four hundred five million, nine hundred seventy thousand, nine hundred forty-four".