3365473584000 has 1024 divisors, whose sum is σ = 12670127308800. Its totient is φ = 782853120000.

The previous prime is 3365473583993. The next prime is 3365473584007. The reversal of 3365473584000 is 4853745633.

It is an interprime number because it is at equal distance from previous prime (3365473583993) and next prime (3365473584007).

It is a super-2 number, since 2×3365473584000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365473584007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2078735191 + ... + 2078736809.

It is an arithmetic number, because the mean of its divisors is an integer number (12373171200).

Almost surely, 2^{3365473584000} is an apocalyptic number.

3365473584000 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 3365473584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335063654400).

3365473584000 is an abundant number, since it is smaller than the sum of its proper divisors (9304653724800).

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

3365473584000 is a wasteful number, since it uses less digits than its factorization.

3365473584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 3365473584000 in words is "three trillion, three hundred sixty-five billion, four hundred seventy-three million, five hundred eighty-four thousand".