3468386400 has 72 divisors (see below), whose sum is σ = 11289605544. Its totient is φ = 924902400.

The previous prime is 3468386377. The next prime is 3468386501. The reversal of 3468386400 is 46838643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720181 + ... + 724980.

It is an arithmetic number, because the mean of its divisors is an integer number (156800077).

Almost surely, 2^3468386400 is an apocalyptic number.

3468386400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3468386400 is an abundant number, since it is smaller than the sum of its proper divisors (7821219144).

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

3468386400 is a wasteful number, since it uses less digits than its factorization.

3468386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445184 (or 1445171 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3468386400 is about 58893.0080739641. The cubic root of 3468386400 is about 1513.7093431088.

The spelling of 3468386400 in words is "three billion, four hundred sixty-eight million, three hundred eighty-six thousand, four hundred".