3407860960 has 192 divisors, whose sum is σ = 9632286720. Its totient is φ = 1114951680.

The previous prime is 3407860933. The next prime is 3407860961. The reversal of 3407860960 is 690687043.

It is a happy number.

It is a super-2 number, since 2×3407860960² = 23227032645384243200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407860961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2157451 + ... + 2159029.

It is an arithmetic number, because the mean of its divisors is an integer number (50168160).

Almost surely, 2^3407860960 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 3407860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816143360).

3407860960 is an abundant number, since it is smaller than the sum of its proper divisors (6224425760).

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

3407860960 is a wasteful number, since it uses less digits than its factorization.

3407860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 3407860960 is about 58376.8872071816. The cubic root of 3407860960 is about 1504.8525751186.

The spelling of 3407860960 in words is "three billion, four hundred seven million, eight hundred sixty thousand, nine hundred sixty".