3400460728320 has 192 divisors, whose sum is σ = 11451389040000. Its totient is φ = 859063615488.

The previous prime is 3400460728241. The next prime is 3400460728337. The reversal of 3400460728320 is 238270640043.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329270 + ... + 3496629.

It is an arithmetic number, because the mean of its divisors is an integer number (59642651250).

Almost surely, 2^{3400460728320} is an apocalyptic number.

3400460728320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3400460728320 is an abundant number, since it is smaller than the sum of its proper divisors (8050928311680).

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

3400460728320 is a wasteful number, since it uses less digits than its factorization.

3400460728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825948 (or 5825928 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 3400460728320 in words is "three trillion, four hundred billion, four hundred sixty million, seven hundred twenty-eight thousand, three hundred twenty".