3373164194400 has 8640 divisors, whose sum is σ = 19551743608320. Its totient is φ = 551809843200.

The previous prime is 3373164194369. The next prime is 3373164194401. The reversal of 3373164194400 is 44914613733.

3373164194400 is a `hidden beast` number, since 3 + 3 + 73 + 164 + 19 + 4 + 400 = 666.

It is a super-2 number, since 2×3373164194400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3373164194401) by changing a digit.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 146659312789 + ... + 146659312811.

It is an arithmetic number, because the mean of its divisors is an integer number (2262933288).

3373164194400 is a highly composite number, because it has more divisors than any smaller number.

3373164194400 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 2^{3373164194400} is an apocalyptic number.

3373164194400 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 3373164194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775871804160).

3373164194400 is an abundant number, since it is smaller than the sum of its proper divisors (16178579413920).

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

3373164194400 is a wasteful number, since it uses less digits than its factorization.

3373164194400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3373164194400 in words is "three trillion, three hundred seventy-three billion, one hundred sixty-four million, one hundred ninety-four thousand, four hundred".