3367481961600 has 864 divisors, whose sum is σ = 12752437698000. Its totient is φ = 845875261440.

The previous prime is 3367481961583. The next prime is 3367481961629. The reversal of 3367481961600 is 61691847633.

It is a happy number.

3367481961600 is a `hidden beast` number, since 3 + 3 + 6 + 7 + 4 + 8 + 19 + 616 + 0 + 0 = 666.

It is a super-2 number, since 2×3367481961600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1020756751 + ... + 1020760049.

Almost surely, 2^{3367481961600} is an apocalyptic number.

3367481961600 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 3367481961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376218849000).

3367481961600 is an abundant number, since it is smaller than the sum of its proper divisors (9384955736400).

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

3367481961600 is a wasteful number, since it uses less digits than its factorization.

3367481961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3367481961600 in words is "three trillion, three hundred sixty-seven billion, four hundred eighty-one million, nine hundred sixty-one thousand, six hundred".