3407404140 has 216 divisors, whose sum is σ = 12656694960. Its totient is φ = 737807616.

The previous prime is 3407404139. The next prime is 3407404141. The reversal of 3407404140 is 414047043.

3407404140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3407404139) and next prime (3407404141).

It is a super-2 number, since 2×3407404140² = 23220805946578279200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3407404141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157414 + ... + 177746.

It is an arithmetic number, because the mean of its divisors is an integer number (58595810).

Almost surely, 2^3407404140 is an apocalyptic number.

3407404140 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 3407404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328347480).

3407404140 is an abundant number, since it is smaller than the sum of its proper divisors (9249290820).

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

3407404140 is a wasteful number, since it uses less digits than its factorization.

3407404140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20381 (or 20369 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3407404140 is about 58372.9743974041. The cubic root of 3407404140 is about 1504.7853308383.

The spelling of 3407404140 in words is "three billion, four hundred seven million, four hundred four thousand, one hundred forty".