3407784380 has 144 divisors (see below), whose sum is σ = 9780505056. Its totient is φ = 980421120.

The previous prime is 3407784379. The next prime is 3407784383. The reversal of 3407784380 is 834877043.

It is a super-2 number, since 2×3407784380² = 23225988761143968800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407784383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127982 + ... + 152298.

It is an arithmetic number, because the mean of its divisors is an integer number (67920174).

Almost surely, 2^3407784380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407784380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890252528).

3407784380 is an abundant number, since it is smaller than the sum of its proper divisors (6372720676).

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

3407784380 is a wasteful number, since it uses less digits than its factorization.

3407784380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24364 (or 24355 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 3407784380 is about 58376.2312932241. The cubic root of 3407784380 is about 1504.8413028988.

It can be divided in two parts, 3407 and 784380, that added together give a palindrome (787787).

The spelling of 3407784380 in words is "three billion, four hundred seven million, seven hundred eighty-four thousand, three hundred eighty".