3409274880 has 768 divisors, whose sum is σ = 14152320000. Its totient is φ = 769720320.

The previous prime is 3409274849. The next prime is 3409274893. The reversal of 3409274880 is 884729043.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 57784291 + ... + 57784349.

It is an arithmetic number, because the mean of its divisors is an integer number (18427500).

Almost surely, 2^3409274880 is an apocalyptic number.

3409274880 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 3409274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160000).

3409274880 is an abundant number, since it is smaller than the sum of its proper divisors (10743045120).

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

3409274880 is a wasteful number, since it uses less digits than its factorization.

3409274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3409274880 is about 58388.9962236036. The cubic root of 3409274880 is about 1505.0606672306.

The spelling of 3409274880 in words is "three billion, four hundred nine million, two hundred seventy-four thousand, eight hundred eighty".