3376207033920 has 2520 divisors, whose sum is σ = 15290682314688. Its totient is φ = 692389969920.

The previous prime is 3376207033891. The next prime is 3376207033921. The reversal of 3376207033920 is 293307026733.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×3376207033920² (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 not an unprimeable number, because it can be changed into a prime (3376207033921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 50391149727 + ... + 50391149793.

Almost surely, 2^{3376207033920} is an apocalyptic number.

3376207033920 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 3376207033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645341157344).

3376207033920 is an abundant number, since it is smaller than the sum of its proper divisors (11914475280768).

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

3376207033920 is a wasteful number, since it uses less digits than its factorization.

3376207033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 45.

The spelling of 3376207033920 in words is "three trillion, three hundred seventy-six billion, two hundred seven million, thirty-three thousand, nine hundred twenty".