3409571880 has 576 divisors, whose sum is σ = 13663802880. Its totient is φ = 759559680.

The previous prime is 3409571863. The next prime is 3409571899. The reversal of 3409571880 is 881759043.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15289449 + ... + 15289671.

It is an arithmetic number, because the mean of its divisors is an integer number (23721880).

Almost surely, 2^3409571880 is an apocalyptic number.

3409571880 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 3409571880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831901440).

3409571880 is an abundant number, since it is smaller than the sum of its proper divisors (10254231000).

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

3409571880 is a wasteful number, since it uses less digits than its factorization.

3409571880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3409571880 is about 58391.5394556437. The cubic root of 3409571880 is about 1505.1043705649.

The spelling of 3409571880 in words is "three billion, four hundred nine million, five hundred seventy-one thousand, eight hundred eighty".