3420260640 has 120 divisors (see below), whose sum is σ = 12070715580. Its totient is φ = 912066048.

The previous prime is 3420260639. The next prime is 3420260647. The reversal of 3420260640 is 460620243.

3420260640 is a `hidden beast` number, since 34 + 20 + 2 + 606 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3405422736 + 14837904 = 58356^2 + 3852^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3420260647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118995 + ... + 144914.

Almost surely, 2^3420260640 is an apocalyptic number.

3420260640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420260640 is an abundant number, since it is smaller than the sum of its proper divisors (8650454940).

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

3420260640 is a wasteful number, since it uses less digits than its factorization.

3420260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263936 (or 263919 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3420260640 is about 58482.9944513788. The cubic root of 3420260640 is about 1506.6755274842.

Adding to 3420260640 its reverse (460620243), we get a palindrome (3880880883).

The spelling of 3420260640 in words is "three billion, four hundred twenty million, two hundred sixty thousand, six hundred forty".