3376281600 has 432 divisors, whose sum is σ = 12832616160. Its totient is φ = 845414400.

The previous prime is 3376281581. The next prime is 3376281637. The reversal of 3376281600 is 61826733.

It is a happy number.

3376281600 is a `hidden beast` number, since 3 + 376 + 281 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×3376281600² = 22798554884997120000, 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 35 ways as a sum of consecutive naturals, for example, 7833385 + ... + 7833815.

It is an arithmetic number, because the mean of its divisors is an integer number (29705130).

Almost surely, 2^3376281600 is an apocalyptic number.

3376281600 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 3376281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416308080).

3376281600 is an abundant number, since it is smaller than the sum of its proper divisors (9456334560).

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

3376281600 is a wasteful number, since it uses less digits than its factorization.

3376281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3376281600 is about 58105.7794027410. The cubic root of 3376281600 is about 1500.1898426388.

The spelling of 3376281600 in words is "three billion, three hundred seventy-six million, two hundred eighty-one thousand, six hundred".