3407785290 has 384 divisors, whose sum is σ = 11535851520. Its totient is φ = 700607232.

The previous prime is 3407785259. The next prime is 3407785291. The reversal of 3407785290 is 925877043.

It is a super-2 number, since 2×3407785290² = 23226001165480768200, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3407785291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15012157 + ... + 15012383.

It is an arithmetic number, because the mean of its divisors is an integer number (30041280).

Almost surely, 2^3407785290 is an apocalyptic number.

3407785290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407785290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767925760).

3407785290 is an abundant number, since it is smaller than the sum of its proper divisors (8128066230).

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

3407785290 is a wasteful number, since it uses less digits than its factorization.

3407785290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3407785290 is about 58376.2390874918. The cubic root of 3407785290 is about 1504.8414368475.

The spelling of 3407785290 in words is "three billion, four hundred seven million, seven hundred eighty-five thousand, two hundred ninety".