3406746470400 has 4032 divisors, whose sum is σ = 16783307049600. Its totient is φ = 665038356480.

The previous prime is 3406746470311. The next prime is 3406746470483. The reversal of 3406746470400 is 40746476043.

3406746470400 is a `hidden beast` number, since 3 + 40 + 67 + 46 + 470 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 57741465571 + ... + 57741465629.

It is an arithmetic number, because the mean of its divisors is an integer number (4162526550).

Almost surely, 2^{3406746470400} is an apocalyptic number.

3406746470400 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 3406746470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391653524800).

3406746470400 is an abundant number, since it is smaller than the sum of its proper divisors (13376560579200).

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

3406746470400 is a wasteful number, since it uses less digits than its factorization.

3406746470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 3406746470400 in words is "three trillion, four hundred six billion, seven hundred forty-six million, four hundred seventy thousand, four hundred".