3438461460 has 96 divisors (see below), whose sum is σ = 11259021312. Its totient is φ = 767652480.

The previous prime is 3438461459. The next prime is 3438461461. The reversal of 3438461460 is 641648343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3438461459) and next prime (3438461461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438461461) 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, 77136 + ... + 113255.

It is an arithmetic number, because the mean of its divisors is an integer number (117281472).

Almost surely, 2^3438461460 is an apocalyptic number.

3438461460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3438461460 is an abundant number, since it is smaller than the sum of its proper divisors (7820559852).

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

3438461460 is a wasteful number, since it uses less digits than its factorization.

3438461460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190453 (or 190451 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 3438461460 is about 58638.3957829680. The cubic root of 3438461460 is about 1509.3433777994.

The spelling of 3438461460 in words is "three billion, four hundred thirty-eight million, four hundred sixty-one thousand, four hundred sixty".