3465333964800 has 936 divisors, whose sum is σ = 13630615381656. Its totient is φ = 869730877440.

The previous prime is 3465333964621. The next prime is 3465333964811. The reversal of 3465333964800 is 84693335643.

It is a happy number.

3465333964800 is a `hidden beast` number, since 3 + 46 + 5 + 3 + 33 + 96 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203843174392 + ... + 203843174408.

It is an arithmetic number, because the mean of its divisors is an integer number (14562623271).

Almost surely, 2^{3465333964800} is an apocalyptic number.

3465333964800 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 3465333964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815307690828).

3465333964800 is an abundant number, since it is smaller than the sum of its proper divisors (10165281416856).

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

3465333964800 is an frugal number, since it uses more digits than its factorization.

3465333964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 3465333964800 in words is "three trillion, four hundred sixty-five billion, three hundred thirty-three million, nine hundred sixty-four thousand, eight hundred".