3409781760 has 792 divisors, whose sum is σ = 15220640448. Its totient is φ = 685670400.

The previous prime is 3409781737. The next prime is 3409781761. The reversal of 3409781760 is 671879043.

3409781760 is a `hidden beast` number, since 3 + 409 + 78 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×3409781760² = 23253223301657395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3409781761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109992945 + ... + 109992975.

Almost surely, 2^3409781760 is an apocalyptic number.

3409781760 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 3409781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610320224).

3409781760 is an abundant number, since it is smaller than the sum of its proper divisors (11810858688).

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

3409781760 is a wasteful number, since it uses less digits than its factorization.

3409781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3409781760 is about 58393.3366061574. The cubic root of 3409781760 is about 1505.1352527240.

The spelling of 3409781760 in words is "three billion, four hundred nine million, seven hundred eighty-one thousand, seven hundred sixty".