3369004682400 has 1512 divisors, whose sum is σ = 14811114777984. Its totient is φ = 745021670400.

The previous prime is 3369004682387. The next prime is 3369004682443. The reversal of 3369004682400 is 42864009633.

3369004682400 is a `hidden beast` number, since 3 + 369 + 0 + 0 + 46 + 8 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×3369004682400² (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 an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 885878899 + ... + 885882701.

It is an arithmetic number, because the mean of its divisors is an integer number (9795710832).

Almost surely, 2^{3369004682400} is an apocalyptic number.

3369004682400 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 3369004682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405557388992).

3369004682400 is an abundant number, since it is smaller than the sum of its proper divisors (11442110095584).

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

3369004682400 is a wasteful number, since it uses less digits than its factorization.

3369004682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3369004682400 in words is "three trillion, three hundred sixty-nine billion, four million, six hundred eighty-two thousand, four hundred".