3311691609600 has 4800 divisors, whose sum is σ = 15913938585600. Its totient is φ = 668860416000.

The previous prime is 3311691609599. The next prime is 3311691609671. The reversal of 3311691609600 is 69061961133.

It is a happy number.

3311691609600 is a `hidden beast` number, since 3 + 31 + 1 + 6 + 9 + 1 + 6 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 479 ways as a sum of consecutive naturals, for example, 106828761585 + ... + 106828761615.

It is an arithmetic number, because the mean of its divisors is an integer number (3315403872).

Almost surely, 2^{3311691609600} is an apocalyptic number.

3311691609600 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 3311691609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956969292800).

3311691609600 is an abundant number, since it is smaller than the sum of its proper divisors (12602246976000).

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

3311691609600 is a wasteful number, since it uses less digits than its factorization.

3311691609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 3311691609600 in words is "three trillion, three hundred eleven billion, six hundred ninety-one million, six hundred nine thousand, six hundred".