3402401460 has 96 divisors (see below), whose sum is σ = 9630953472. Its totient is φ = 897436800.

The previous prime is 3402401413. The next prime is 3402401461. The reversal of 3402401460 is 641042043.

It is a self number, because there is not a number n which added to its sum of digits gives 3402401460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402401461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2563317 + ... + 2564643.

It is an arithmetic number, because the mean of its divisors is an integer number (100322432).

Almost surely, 2^3402401460 is an apocalyptic number.

3402401460 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 3402401460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815476736).

3402401460 is an abundant number, since it is smaller than the sum of its proper divisors (6228552012).

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

3402401460 is a wasteful number, since it uses less digits than its factorization.

3402401460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3402401460 is about 58330.1076631957. The cubic root of 3402401460 is about 1504.0485386148.

The spelling of 3402401460 in words is "three billion, four hundred two million, four hundred one thousand, four hundred sixty".