3367836536064 has 1152 divisors, whose sum is σ = 12449932443648. Its totient is φ = 780076154880.

The previous prime is 3367836536047. The next prime is 3367836536081. The reversal of 3367836536064 is 4606356387633.

It is an interprime number because it is at equal distance from previous prime (3367836536047) and next prime (3367836536081).

It is a super-2 number, since 2×3367836536064² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3367836535989 and 3367836536007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2998963407 + ... + 2998964529.

It is an arithmetic number, because the mean of its divisors is an integer number (10807233024).

Almost surely, 2^{3367836536064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3367836536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224966221824).

3367836536064 is an abundant number, since it is smaller than the sum of its proper divisors (9082095907584).

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

3367836536064 is a wasteful number, since it uses less digits than its factorization.

3367836536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 60.

The spelling of 3367836536064 in words is "three trillion, three hundred sixty-seven billion, eight hundred thirty-six million, five hundred thirty-six thousand, sixty-four".