3410100960 has 192 divisors, whose sum is σ = 12404109312. Its totient is φ = 771342336.

The previous prime is 3410100959. The next prime is 3410100973. The reversal of 3410100960 is 690010143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3410100960.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 320689 + ... + 331151.

It is an arithmetic number, because the mean of its divisors is an integer number (64604736).

Almost surely, 2^3410100960 is an apocalyptic number.

3410100960 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 3410100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202054656).

3410100960 is an abundant number, since it is smaller than the sum of its proper divisors (8994008352).

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

3410100960 is a wasteful number, since it uses less digits than its factorization.

3410100960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 3410100960 is about 58396.0697307618. The cubic root of 3410100960 is about 1505.1822180153.

The spelling of 3410100960 in words is "three billion, four hundred ten million, one hundred thousand, nine hundred sixty".