3375820800 has 780 divisors, whose sum is σ = 14010345096. Its totient is φ = 796262400.

The previous prime is 3375820787. The next prime is 3375820829. The reversal of 3375820800 is 80285733.

It is a super-2 number, since 2×3375820800² = 22792332147425280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 91238382 + ... + 91238418.

Almost surely, 2^3375820800 is an apocalyptic number.

3375820800 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 3375820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005172548).

3375820800 is an abundant number, since it is smaller than the sum of its proper divisors (10634524296).

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

3375820800 is a wasteful number, since it uses less digits than its factorization.

3375820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3375820800 is about 58101.8140852762. The cubic root of 3375820800 is about 1500.1215901436.

The spelling of 3375820800 in words is "three billion, three hundred seventy-five million, eight hundred twenty thousand, eight hundred".