3407412640 has 96 divisors (see below), whose sum is σ = 8149680000. Its totient is φ = 1346208768.

The previous prime is 3407412637. The next prime is 3407412641. The reversal of 3407412640 is 462147043.

3407412640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3407412640² = 23220921798463539200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3407412641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7761541 + ... + 7761979.

It is an arithmetic number, because the mean of its divisors is an integer number (84892500).

Almost surely, 2^3407412640 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 3407412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074840000).

3407412640 is an abundant number, since it is smaller than the sum of its proper divisors (4742267360).

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

3407412640 is a wasteful number, since it uses less digits than its factorization.

3407412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 3407412640 is about 58373.0472050243. The cubic root of 3407412640 is about 1504.7865821001.

Adding to 3407412640 its reverse (462147043), we get a palindrome (3869559683).

The spelling of 3407412640 in words is "three billion, four hundred seven million, four hundred twelve thousand, six hundred forty".