3670374400 has 576 divisors, whose sum is σ = 12186720000. Its totient is φ = 1083801600.

The previous prime is 3670374377. The next prime is 3670374403. The reversal of 3670374400 is 44730763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3670374403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193177591 + ... + 193177609.

It is an arithmetic number, because the mean of its divisors is an integer number (21157500).

Almost surely, 2^3670374400 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 3670374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360000).

3670374400 is an abundant number, since it is smaller than the sum of its proper divisors (8516345600).

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

3670374400 is a wasteful number, since it uses less digits than its factorization.

3670374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The square root of 3670374400 is about 60583.6149466174. The cubic root of 3670374400 is about 1542.5412587349.

The spelling of 3670374400 in words is "three billion, six hundred seventy million, three hundred seventy-four thousand, four hundred".