3409493760 has 432 divisors, whose sum is σ = 12783257760. Its totient is φ = 836075520.

The previous prime is 3409493753. The next prime is 3409493783. The reversal of 3409493760 is 673949043.

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 47 ways as a sum of consecutive naturals, for example, 8098350 + ... + 8098770.

Almost surely, 2^3409493760 is an apocalyptic number.

3409493760 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 3409493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391628880).

3409493760 is an abundant number, since it is smaller than the sum of its proper divisors (9373764000).

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

3409493760 is a wasteful number, since it uses less digits than its factorization.

3409493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3409493760 is about 58390.8705192858. The cubic root of 3409493760 is about 1505.0928755096.

The spelling of 3409493760 in words is "three billion, four hundred nine million, four hundred ninety-three thousand, seven hundred sixty".