3316749004800 has 2106 divisors, whose sum is σ = 15215003198304. Its totient is φ = 688059187200.

The previous prime is 3316749004733. The next prime is 3316749004813. The reversal of 3316749004800 is 84009476133.

3316749004800 is a `hidden beast` number, since 3 + 3 + 16 + 74 + 90 + 0 + 480 + 0 = 666.

It is a super-2 number, since 2×3316749004800² (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 an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 5464166097 + ... + 5464166703.

Almost surely, 2^{3316749004800} is an apocalyptic number.

3316749004800 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 3316749004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607501599152).

3316749004800 is an abundant number, since it is smaller than the sum of its proper divisors (11898254193504).

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

3316749004800 is a wasteful number, since it uses less digits than its factorization.

3316749004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3316749004800 in words is "three trillion, three hundred sixteen billion, seven hundred forty-nine million, four thousand, eight hundred".